Use the Particle Model to Draw a Motion Diagram for a Bush Babys Jump
Problem ane
Figure $\mathrm{P} 2.1$ shows a motion diagram of a car traveling down
a street. The camera took one frame every 2nd. A distance calibration is provided.
a. Employ the scale to determine the $x$ -value of the car at each dot.
Place your data in a table, similar to Table $2.one,$ showing each position and the instant of time at which information technology occurred.
b. Brand a graph of $x$ versus $t,$ using the information in your table. Because you lot accept data just at certain instants of time, your graph should consist of dots that are not connected together.
Problem 2
For each motion diagram in Figure $P ii.ii,$ make up one's mind the sign (positive or negative) of the position and the velocity.
Derek P.
Numerade Educator
Problem 3
The position graph of Effigy $\mathrm{P} two.3$ shows a dog slowly sneaking up on a squirrel, and so putting on a burst of speed.
a. For how many seconds does the dog motility at the slower speed?
b. Describe the dog'south velocity-versus-time graph. Include a numerical scale on both axes.
Guilherme B.
Numerade Educator
Problem 4
A rural mail service carrier is driving slowly, putting mail service in mailboxes near the road. He overshoots one mailbox, stops, shifts into reverse, and and then backs up until he is at the right spot. The velocity graph of Effigy $\mathrm{P} 2.4$ represents his movement.
a. Draw the mail service carrier's position-versus-fourth dimension graph. Presume that $x=0 \mathrm{m}$ at $t=0 \mathrm{s}$
b. What is the position of the mailbox?
Guilherme B.
Numerade Educator
Trouble 5
For the velocity-versus-fourth dimension graph of Figure $P 2.5:$
a. Depict the respective position-versus-time graph. Assume that $x=0 \mathrm{thousand}$ at $t=0 \mathrm{s}$
b. What is the object"s position at $t=12 \mathrm{south} ?$
c. Draw a moving object that could have these graphs.
Guilherme B.
Numerade Educator
Problem 6
I Starting at $48th$ Street, Dylan rides his bike due east on Meridian Road with the wind at his back. He rides for 20 min at
$15 \mathrm{mph} .$ He then stops for $5 \mathrm{min},$ turns around, and rides dorsum to 48th Street; considering of the headwind, his speed is simply ten mph.
a. How long does his trip take?
b. Assuming that the origin of his trip is at $48th$ Street, draw a position-versus-time graph for his trip.
Guilherme B.
Numerade Educator
Problem 7
An elevator in a high-rise edifice goes up and down at the same speed. Starting at the ground flooring, Rafael and Monica ride up five floors, a vertical rise of $20 \mathrm{k}$. The lift stops for ten south as Monica gets off. Rafael and then goes back downward two floors. Rafael'due south entire trip takes 24 due south. Taking the origin to be at the ground floor, draw position-versus-time and velocity versus-time graphs for Rafael's trip.
Guilherme B.
Numerade Educator
Problem eight
A bicyclist has the position-versus-time graph shown in Effigy $\mathrm{P} 2.8 .$ What is the bicyclist's velocity at $t=10 \mathrm{s},$ at $t=25 \mathrm{s},$ and at $t=35 \mathrm{s} ?$
Guilherme B.
Numerade Educator
Problem 9
In major league baseball, the bullpen's mound is 60 feet from the batter. If a bullpen throws a 95 mph fastball, how much fourth dimension elapses from when the ball leaves the pitcher's hand until the ball reaches the batter?
Guilherme B.
Numerade Educator
Problem 10
In college softball, the altitude from the pitcher'south mound to the batter is 43 feet. If the ball leaves the bat at $100 \mathrm{mph}$, how much time elapses between the striking and the brawl reaching the pitcher?
Guilherme B.
Numerade Educator
Problem xi
Alan leaves Los Angeles at eight: 00 AM to drive to San Francisco, $400 \mathrm{mi}$ away. He travels at a steady $l \mathrm{mph}$. Beth leaves Los Angeles at 9: 00 AM and drives a steady 60 mph.
a. Who gets to San Francisco first?
b. How long does the first to go far take to look for the second?
Guilherme B.
Numerade Educator
Problem 12
Richard is driving domicile to visit his parents. 125 mi of the trip are on the interstate highway where the speed limit is 65 mph. Normally Richard drives at the speed limit, only today he is running late and decides to accept his chances by driving at $70 \mathrm{mph} .$ How many minutes does he save?
Guilherme B.
Numerade Educator
Problem xiii
In a $5.00 \mathrm{km}$ race, one runner runs at a steady $12.0 \mathrm{km} / \mathrm{h}$ and another runs at $14.5 \mathrm{km} / \mathrm{h}$. How long does the faster runner have to wait at the finish line to see the slower runner cross?
Guilherme B.
Numerade Educator
Problem 14
In an $8,00 \mathrm{km}$ race, one runner runs at a steady $11.0 \mathrm{km} / \mathrm{h}$ and another runs at $14.0 \mathrm{km} / \mathrm{h}$. How far from the stop line is the slower runner when the faster runner finishes the race?
Guilherme B.
Numerade Educator
Problem 15
Effigy $P 2.xv$ shows bodily information from Usain Bolt's 2009 give-and-take-tape run in the $100 \mathrm{one thousand}$ sprint. From this graph, estimate his peak speed in $\mathrm{m} / \mathrm{s}$ and in $\mathrm{mph}$.
Problem 16
While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of $100 \mathrm{m}$. She finds that she runs this distance in 18 s. Answer the post-obit past considering ratios, without computing her velocity.
a. If she maintains her speed, how much time volition it have her to run the adjacent $400 \mathrm{m} ?$
b. How long will information technology take her to run a mile at this speed?
Guilherme B.
Numerade Educator
Problem 17
Figure $P 2.17$ shows the position graph of a particle.
a. Draw the particle's velocity graph for the interval $0 \mathrm{s} \leq t \leq 4 \mathrm{s}$
b. Does this particle take a turning bespeak or points? If so, at what time or times?
Guilherme B.
Numerade Educator
Problem 18
A somewhat idealized graph of the speed of the blood in the ascending aorta during one beat of the eye appears as in Figure $\mathrm{P} 2.18$
a. Approximately how far, in $\mathrm{cm},$ does the blood move during one trounce?
b. Assume similar data for the motion of the blood in your aorta, and make a rough estimate of the distance from your heart to your brain. Estimate how many beats of the heart it takes for blood to travel from your heart to your encephalon.
Derek P.
Numerade Educator
Problem nineteen
A automobile starts from $x_{1}=x \mathrm{m}$ at $t_{1}=0 \mathrm{s}$ and moves with the velocity graph shown in Figure $\mathrm{P} 2.xix$.
a. What is the car's position at $t=ii \mathrm{s}, three \mathrm{s},$ and $iv \mathrm{s} ?$
b. Does this car e'er change management? If then, at what fourth dimension?
Guilherme B.
Numerade Educator
Problem 20
Figure $P 2.20$ shows a graph of actual position-versus-fourth dimension data for a particular type of elevate racer known as a "funny car."
a. Gauge the car'southward velocity at $two.0 \mathrm{due south}$
$$
\text { b. Judge the car's velocity at } 4.0 \mathrm{southward}
$$
Hubert A.
Numerade Educator
Problem 21
Figure $P 2.21$ shows the velocity graph of a cycle. Draw the bicycle"s acceleration graph for the interval $0 \mathrm{s} \leq t \leq 4 \mathrm{s}$. Give both axes an appropriate numerical scale.
Guilherme B.
Numerade Educator
Problem 22
We set up the origin of a coordinate system so that the position of a railroad train is $x=0 \mathrm{m}$ at $t=0 \mathrm{s}$. Figure $\mathrm{P} 2.22$ shows the railroad train's velocity graph.
a. Draw position and acceleration graphs for the train.
b. Find the acceleration of the train at $t=3.0 \mathrm{southward}$
Guilherme B.
Numerade Educator
Problem 23
An object has the acceleration graph shown in Figure $P 2.23$. Its velocity at $t=0$ s is $v_{x}=2.0 \mathrm{m} / \mathrm{s}$. Draw the object'due south velocity graph.
Problem 24
Effigy P2.xviii showed information for the speed of blood in the aorta. Decide the magnitude of the acceleration for both phases, speeding up and slowing down.
Derek P.
Numerade Educator
Problem 25
Figure $P 2.25$ is a somewhat simplified velocity graph for Olympic sprinter Carl Lewis starting a $100 \mathrm{m}$ nuance. Judge his acceleration during each of the intervals A, B, and C.
Prashant B.
Numerade Educator
Problem 26
Small frogs that are adept jumpers are capable of remarkable accelerations. One species reaches a takeoff speed of $3.7 \mathrm{chiliad} / \mathrm{s}$ in $60 \mathrm{ms} .$ What is the frog's acceleration during the jump?
Guilherme B.
Numerade Educator
Problem 27
A Thomson's gazelle can reach a speed of $xiii \mathrm{m} / \mathrm{south}$ in $three.0 \mathrm{southward}$. A panthera leo can reach a speed of $9.5 \mathrm{1000} / \mathrm{s}$ in $i.0 \mathrm{s}$. A trout tin can reach a speed of $ii.8 \mathrm{k} / \mathrm{due south}$ in $0.12 \mathrm{s}$. Which animal has the largest acceleration?
Guilherme B.
Numerade Educator
Problem 28
When hit, the pike, a predatory fish, can accelerate from rest to a speed of $4.0 \mathrm{m} / \mathrm{due south}$ in $0.eleven \mathrm{s}$
a. What is the acceleration of
the thruway during this strike?
b. How far does the freeway move during this strike?
Guilherme B.
Numerade Educator
Problem 29
a. What constant acceleration, in SI units, must a car have to go from zero to lx mph in x s?
b. What fraction of $thou$ is this?
c. How far has the car traveled when it reaches $sixty \mathrm{mph} ?$ Give your respond both in $\mathrm{SI}$ units and in anxiety.
Guilherme B.
Numerade Educator
Problem thirty
When jumping, a flea rapidly extends its legs, reaching a takeoff speed of $1.0 \mathrm{m} / \mathrm{s}$ over a distance of $0.50 \mathrm{mm}$.
a. What is the flea's acceleration as it extends its legs?
b. How long does information technology have the flea to exit the ground after information technology begins pushing off?
Guilherme B.
Numerade Educator
Trouble 31
In a car crash, large accelerations of the head can lead to astringent injuries or fifty-fifty death. A driver tin can probably survive an acceleration of $fifty g$ that lasts for less than $xxx \mathrm{ms}$, but in a crash with a $50 g$ acceleration lasting longer than $30 \mathrm{ms}$, a driver is unlikely to survive. Imagine a collision in which a driver's head experienced a $50 g$ acceleration.
a. What is the highest speed that the car could have had such that the driver survived?
b. What is the shortest survivable distance over which the commuter'south caput could take come to balance?
Guilherme B.
Numerade Educator
Problem 32
Low-cal-rail passenger trains that provide transportation within and betwixt cities speed up and tiresome down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of boondocks at $v.0 \mathrm{one thousand} / \mathrm{s}$. Once free of this surface area, information technology speeds up to $12 \mathrm{m} / \mathrm{s}$ in $8.0 \mathrm{s}$. At the border of town, the driver again accelerates, with the same acceleration, for some other 16 s to achieve a higher cruising speed. What is the final speed?
Guilherme B.
Numerade Educator
Problem 33
A cantankerous-country skier is skiing forth at a zippy $8.0 \mathrm{grand} / \mathrm{s}$. She stops pushing and but glides along, slowing to a reduced speed of $6.0 \mathrm{m} / \mathrm{south}$ after gliding for $five.0 \mathrm{k}$. What is the magnitude of her acceleration equally she slows?
Guilherme B.
Numerade Educator
Trouble 34
A small propeller plane can comfortably achieve a high enough speed to take off on a track that is $1 / iv$ mile long. A big, fully loaded passenger jet has about the same dispatch from balance, just it needs to attain twice the speed to take off. What is the minimum runway length that will serve? Hint: Yous tin solve this trouble using ratios without having whatsoever additional information.
Guilherme B.
Numerade Educator
Trouble 35
Formula One racers speed up much more quickly than normal rider vehicles, and they also can stop in a much shorter distance. A Formula I racer traveling at $90 \mathrm{chiliad} / \mathrm{s}$ can terminate in a distance of $110 \mathrm{m} .$ What is the magnitude of the auto'south acceleration as it slows during braking?
Guilherme B.
Numerade Educator
Problem 36
Figure P2.36 shows a velocity-versus-time graph for a particle moving along the $x$ -axis. At $t=0$ s, assume that $x=0$ m.
a. What are the particle'south position, velocity, and acceleration at $t=i.0 \mathrm{s} ?$
b. What are the particle's position, velocity, and acceleration at $t=three.0 \mathrm{s} ?$
Guilherme B.
Numerade Educator
Trouble 37
A driver has a reaction fourth dimension of $0.50 \mathrm{southward}$, and the maximum deceleration of her motorcar is $half-dozen.0 \mathrm{m} / \mathrm{southward}^{two}$. She is driving at $20 \mathrm{m} / \mathrm{s}$ when suddenly she sees an obstruction in the route $50 \mathrm{m}$ in front end of her. Tin she end the car in fourth dimension to avert a collision?
Guilherme B.
Numerade Educator
Problem 38
Chameleons catch insects with their tongues, which they can rapidly exlend to swell lengths. In a typical strike, the chameleon'south tongue accelerates at a remarkable $250 \mathrm{m} / \mathrm{due south}^{2}$ for $20 \mathrm{ms}$, and then travels at constant speed for some other $30 \mathrm{ms}$. During this total time of $50 \mathrm{ms}, 1 / 20$ of a second, how far does the natural language reach?
Guilherme B.
Numerade Educator
Problem 39
You're driving downwardly the highway late i night at $20 \mathrm{m} / \mathrm{due south}$ when a deer steps onto the road $35 \mathrm{m}$ in front of you. Your reaction fourth dimension before stepping on the brakes is $0.l \mathrm{s},$ and the maximum deceleration of your machine is $10 \mathrm{m} / \mathrm{s}^{2}$.
a. How much distance is between you and the deer when you come to a finish?
b. What is the maximum speed you lot could have and still not hit the deer?
Guilherme B.
Numerade Educator
Problem twoscore
Upon impact, bicycle helmets compress, thus lowering the potentially dangerous acceleration experienced by the head.A new kind of helmet uses an airbag that deploys from a pouch worn around the In tests, a headform wearing the inflated airbag is dropped onto a rigid platform; the speed just earlier impact is $half dozen.0 \mathrm{one thousand} / \mathrm{s}$. Upon bear on, the bag compresses its full $12.0 \mathrm{cm}$ thickness, slowing the headform to residual. What is the acceleration, in $1000$ 's, experienced by the headform? (An acceleration greater than $lx \mathrm{1000}$ is considered especially dangerous.)
Guilherme B.
Numerade Educator
Problem 41
A car is traveling at a steady $80 \mathrm{km} / \mathrm{h}$ in a $50 \mathrm{km} / \mathrm{h}$ zone. A law motorcycle takes off at the instant the car passes it, accelerating at a steady $8.0 \mathrm{thousand} / \mathrm{s}^{2}$
a. How much time elapses before the motorbike is moving every bit fast as the machine?
b. How far is the motorcycle from the machine when it reaches this speed?
Guilherme B.
Numerade Educator
Problem 42
The velocity-versus-fourth dimension graph for the vertical leap of a green leaf-hopper, a small insect, is shown in Figure $P two.42 .$ This insect is unusual because it jumps with almost constant acceleration.
a. Estimate the leaf-hopper'due south acceleration.
b. About how far does information technology motility during this stage of its jump?
Problem 43
A elementary model for a person running the $100 \mathrm{m}$ nuance is to assume the sprinter runs with constant acceleration until reaching top speed, and then maintains that speed through the finish line. If a sprinter reaches his summit speed of $11.2 \mathrm{m} / \mathrm{s}$ in $2.xiv \mathrm{southward}$, what will be his full time?
Guilherme B.
Numerade Educator
Trouble 44
Scientists have investigated how quickly hover flies start chirapsia their wings when dropped both in complete darkness and in a lighted environment. Starting from balance, the insects were dropped from the top of a $40-\mathrm{cm}-$ tall box. In the lite, those flies that began flight $200 \mathrm{ms}$ after being dropped avoided hitting the bottom of the box $80 \%$ of the fourth dimension, while those in the dark avoided hitting only $22 \%$ of the time.
a. How far would a fly have fallen in the 200 ms before it began to crush its wings?
b. How long would information technology take for a fly to hit the bottom if it never began to fly?
Guilherme B.
Numerade Educator
Problem 45
Hither's an interesting challenge you tin can give to a friend. Hold a $one (or larger) bill by an upper corner. Have a friend prepare to pinch a lower corner, putting her fingers near simply non touching the bill. Tell her to try to catch the pecker when you drop it past just endmost her fingers. This seems like it should exist like shooting fish in a barrel, merely it's not. Afterward she sees that you have released the nib, it will have her about 0.25 s to react and close her fingers-which is not fast enough to catch the bill. How much time does it take for the pecker to fall beyond her grasp? The length of a bill is 16 cm.
Guilherme B.
Numerade Educator
Problem 46
In the preceding problem nosotros saw that a person'south reaction time is generally not quick enough to allow the person to catch a $one bill dropped between the fingers. The xvi cm length of the bill passes through a student"southward fingers earlier she can grab it if she has a typical 0.25 due south reaction time. How long would a neb need to exist for her to take a adept chance of communicable it?
Guilherme B.
Numerade Educator
Problem 47
A gannet is a seabird that fishes by diving from a bang-up top. If a gannet hits the water at $32 \mathrm{m} / \mathrm{s}$ (which they practise), what height did information technology dive from? Assume that the gannet was motionless before starting its dive.
Guilherme B.
Numerade Educator
Problem 48
Steelhead trout drift upriver to spawn. Occasionally they need to bound up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of $viii.0 \mathrm{m} / \mathrm{s}$.
a. What is the maximum top that a steelhead can jump?
b. Leaving the water vertically at $8.0 \mathrm{k} / \mathrm{s},$ a steelhead lands on the top of a waterfall $1.viii \mathrm{m}$ high. How long is it in the air?
Guilherme B.
Numerade Educator
Trouble 49
In a circus human activity, an acrobat rebounds up from the surface of a trampoline at the exact moment that another acrobat, perched $9.0 \mathrm{m}$ above him, releases a ball from balance. While still in flight, the acrobat catches the ball simply equally information technology reaches him. If he left the trampoline with a speed of $8.0 \mathrm{m} / \mathrm{s}$, how long is he in the air before he catches the ball?
Guilherme B.
Numerade Educator
Problem 50
A student at the elevation of a building of height $h$ throws ball $A$ straight upwardly with speed $v_{0}$ and throws ball B straight downwards with the same initial speed.
a. Compare the balls" accelerations, both direction and magnitude, immediately after they leave her manus. Is i acceleration larger than the other? Or are the magnitudes equal?
b. Compare the concluding speeds of the balls as they reach the ground. Is ane larger than the other? Or are they equal?
Guilherme B.
Numerade Educator
Problem 51
Excellent human being jumpers tin leap straight up to a height of $110 \mathrm{cm}$ off the ground. To achieve this height, with what speed would a person need to leave the ground?
Guilherme B.
Numerade Educator
Problem 52
A football is kicked straight up into the air; it hits the footing
five.2 s later.
a. What was the greatest height reached by the ball? Assume information technology is kicked from ground level.
b. With what speed did it leave the kicker"s foot?
Guilherme B.
Numerade Educator
Trouble 53
In an action movie, the villain is rescued from the sea by grabbing onto the ladder hanging from a helicopter. He is and then intent on gripping the ladder that he lets go of his briefcase of counterfeit money when he is $130 \mathrm{m}$ above the water. If the briefcase hits the water $6.0 \mathrm{s}$ later, what was the speed at which the helicopter was ascending?
Guilherme B.
Numerade Educator
Problem 54
Spud Webb was, at $5 \mathrm{ft} viii \mathrm{in}$, one of the shortest basketball game players to play in the NBA. But he had an amazing vertical leap; he could jump to a elevation of $1.1 \mathrm{grand}$ off the ground, so he could easily dunk a basketball. For such a leap, what was his "hang fourth dimension" - the time spent in the air after leaving the ground and before touching downwards once more?
Guilherme B.
Numerade Educator
Problem 55
A rock climber stands on elevation of a $50-\mathrm{k}$ -loftier cliff overhanging a pool of water. He throws two stones vertically down $i.0 \mathrm{s}$ apart and observes that they cause a single splash. The initial speed of the outset stone was $2.0 \mathrm{m} / \mathrm{south}$.
a. How long afterwards the release of the offset stone does the 2nd stone hit the water?
b. What was the initial speed of the 2d stone?
c. What is the speed of each stone equally it hits the water?
Guilherme B.
Numerade Educator
Problem 56
Actual velocity data for a king of beasts pursuing prey are shown in Figure P2.56. Estimate:
a. The initial acceleration of the king of beasts.
b. The dispatch of the lion at $ii \mathrm{s}$ and at $4 \mathrm{south}$.
c. The distance traveled by the lion between 0 due south and viii s.
Derek P.
Numerade Educator
Problem 57
A truck commuter has a shipment of apples to deliver to a destination 440 miles away. The trip usually takes him 8 hours. Today he finds himself heedless and realizes 120 miles into his trip that he is running fifteen minutes later than his usual pace at this point. At what speed must he bulldoze for the remainder of the trip to complete the trip in the usual amount of time?
Guilherme B.
Numerade Educator
Trouble 58
Jenny and Alyssa are members of the cross-country team. On a grooming run, Jenny starts off and runs at a constant $three.viii \mathrm{m} / \mathrm{due south}$. Alyssa starts $15 \mathrm{southward}$ later and runs at a constant $4.0 \mathrm{1000} / \mathrm{due south} .$ At what time after Jenny's start does Alyssa take hold of up with Jenny?
Guilherme B.
Numerade Educator
Problem 59
Figure $P 2.59$ shows the movement diagram, made at two frames of film per 2d, of a ball rolling forth a track. The track has
a 3.0-thou-long sticky section.
a. Use the scale to determine the positions of the heart of the ball. Place your data in a table, similar to Table $2.i,$ showing each position and the instant of time at which information technology occurred.
b. Brand a graph of $ten$ versus $t$ for the ball. Because you take data merely at certain instants of fourth dimension, your graph should consist of dots that are not connected together.
c. What is the alter in the ball's position from $t=0$ south to $t=ane.0 \mathrm{s} ?$
d. What is the modify in the ball"s position from $t=2.0 \mathrm{southward}$ to $t=4.0 \mathrm{s} ?$
What is the brawl's velocity before reaching the sticky section?
f. What is the ball's velocity after passing the mucilaginous section?
one thousand. Determine the ball's acceleration on the pasty department of the rails.
Problem 60
In a 5000 m race, the athletes run $12 \frac{one}{2}$ laps; each lap is $400 \mathrm{k}$. Kara runs the race at a abiding pace and finishes in 17.5 min. Hannah runs the race in a blistering $fifteen.3 \mathrm{min},$ so fast that she actually passes Kara during the race. How many laps has Hannah run when she passes Kara?
Rashmi South.
Numerade Educator
Problem 61
ane The takeoff speed for an Airbus A 320 jetliner is $fourscore \mathrm{m} / \mathrm{s}$. Velocity data measured during takeoff are every bit shown in the table.
a. What is the jetliner's acceleration during takeoff, in $\mathrm{m} / \mathrm{s}^{2}$ and in $g$ 'south?
b. At what time do the wheels leave the
ground?
c. For safety reasons, in case of an aborted takeoff, the length of the rails must be three times the takeoff distance. What is the minimum length rails this aircraft tin can use?
Guilherme B.
Numerade Educator
Problem 62
Does a real automobile have con-stant acceleration? Measured data for a
Porsche 944 Turbo at maximum acceleration are as shown in the tabular array.
a. Convert the velocities to $\mathrm{m} / \mathrm{southward},$ and so make a graph of velocity versus time. Based on your graph, is the dispatch constant? Explain.
b. Estimate how far the car traveled in the first $10 \mathrm{s}$.
c. Describe a smooth curve through the points on your graph, then use your graph to judge the auto"southward acceleration at $ii.0 \mathrm{s}$ and $viii.0 \mathrm{s} .$ Give your respond in $\mathrm{SI}$ units. Hint: Retrieve that acceleration is the slope of the velocity graph.$$
\begin{assortment}{cc}
\mathbf{t}(\mathrm{south}) & \boldsymbol{v}_{\boldsymbol{10}}(\mathrm{mph}) \\
\hline 0 & 0 \\
2 & 41 \\
4 & 66 \\
half dozen & 83 \\
eight & 97 \\
10 & 110 \\
\hline
\end{array}
$$
Trouble 63
Scientists have studied two species of sand lizards, the Mojave fringe-toed lizard and the western zebra-tailed lizard, to empathise the extent to which the unlike construction of the 2 species" toes is related to their preferred habitats-fine sand for the Mojave cadger and coarse sand for the zebra-tailed cadger. Figure $P ii.63$ shows a somewhat simplified velocity-versus-fourth dimension graph for the Mojave fringe-toed lizard.
a. Estimate the maximum acceleration of the lizard in both yard/s ${ }^{2}$ $\operatorname{and} yard^{\prime} \mathrm{s}$
b. Estimate its acceleration at $t=150 \mathrm{ms}$
c. Estimate how far it travels in the outset $50 \mathrm{ms}$.
Problem 64
Yous are driving to the grocery shop at $20 \mathrm{m} / \mathrm{southward}$. You are 110 $\mathrm{m}$ from an intersection when the traffic low-cal turns cerise. Assume that your reaction time is $0.70 \mathrm{s}$ and that your automobile brakes with constant acceleration.
a. How far are you from the intersection when yous begin to apply the brakes?
b. What acceleration will bring you lot to rest right at the intersection?
c. How long does information technology accept you to stop?
Guilherme B.
Numerade Educator
Problem 65
When you glimmer your eye, the upper lid goes from balance with your eye open to completely covering your eye in a fourth dimension of $0.024 \mathrm{s}$
a. Estimate the distance that the top hat of your eye moves during a glimmer.
b. What is the acceleration of your eyelid? Assume information technology to exist constant.
c. What is your upper eyelid"s final speed every bit information technology hits the bottom eyelid?
Guilherme B.
Numerade Educator
Problem 66
II A bush-league baby, an African primate, is capable of a remarkable vertical leap. The bush baby goes into a hunker and extends its legs, pushing upward for a altitude of $0.16 \mathrm{m} .$ After this upwards dispatch, the bush baby leaves the basis and travels upward for $ii.iii \mathrm{m}$. What is the acceleration during the pushing-off phase? Give your answer in $\mathrm{thousand} / \mathrm{due south}^{two}$ and in $\mathrm g^ {\prime} \mathrm{due south}$
Guilherme B.
Numerade Educator
Trouble 67
When jumping, a flea reaches a takeoff speed of $1.0 \mathrm{m} / \mathrm{due south}$ over a altitude of $0.l \mathrm{mm}$
a. What is the flea's acceleration during the jump phase?
b. How long does the acceleration stage concluding?
c. If the flea jumps direct up, how loftier will it go? (Ignore air resistance for this problem; in reality, air resistance plays a large part, and the flea will not reach this superlative.)
Guilherme B.
Numerade Educator
Problem 68
Certain insects can attain seemingly impossible accelerations while jumping. The click beetle accelerates at an astonishing $400 \mathrm{thousand}$ over a distance of $0.60 \mathrm{cm}$ as information technology rapidly bends its thorax, making the "click" that gives it its name.
a. Bold the protrude jumps direct upwards, at what speed does information technology leave the ground?
b. How much fourth dimension is required for the beetle to reach this speed?
c. Ignoring air resistance, how high would it become?
Guilherme B.
Numerade Educator
Trouble 69
A pupil standing on the ground throws a ball straight up. The ball leaves the student's manus with a speed of $15 \mathrm{one thousand} / \mathrm{s}$ when the mitt is $two.0 \mathrm{yard}$ above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way.)
Guilherme B.
Numerade Educator
Problem 70
A rock is tossed straight up with a speed of $xx \mathrm{m} / \mathrm{s}$. When it returns, it falls into a hole $10 \mathrm{1000}$ deep.
a. What is the stone"south velocity as it hits the bottom of the hole?
b. How long is the rock in the air, from the instant it is released until information technology hits the bottom of the pigsty?
Guilherme B.
Numerade Educator
Trouble 71
In springboard diving, the diver strides out to the finish of the board, takes a spring onto its end, and uses the resultant spring-similar nature of the lath to help propel him into the air. Assume that the diver's motion is substantially vertical. He leaves the board, which is $3.0 \mathrm{m}$ to a higher place the water, with a speed of $6.three \mathrm{m} / \mathrm{s}$
a. How long is the diver in the air, from the moment he leaves the board until he reaches the water?
b. What is the speed of the diver when he reaches the h2o?
Guilherme B.
Numerade Educator
Problem 72
II Haley is driving downwardly a straight highway at 75 mph. A construction sign warns that the speed limit will drop to $55 \mathrm{mph}$ in $0.l \mathrm{mi} .$ What constant acceleration (in $\mathrm{k} / \mathrm{southward}$ ) volition bring Haley to this lower speed in the distance available?
Guilherme B.
Numerade Educator
Problem 73
A auto starts from residue at a stop sign. It accelerates at $ii.0 \mathrm{thou} / \mathrm{southward}^{2}$ for half dozen.0 seconds, coasts for $2.0 \mathrm{s}$, and and then slows down at a rate of $1.5 \mathrm{g} / \mathrm{s}^{two}$ for the adjacent stop sign. How far autonomously are the terminate signs?
Guilherme B.
Numerade Educator
Problem 74
If Chameleons can rapidly project their very long tongues to take hold of nearby insects. The tongue of the tiny Rosette-nosed chameleon has the highest dispatch of a body role of whatever amniote (reptile, bird, or mammal) ever measured. In a somewhat simplified model of its natural language move, the tongue, starting from residuum, first undergoes a abiding-dispatch phase with an astounding magnitude of $2500 \mathrm{grand} / \mathrm{s}^{2} .$ This dispatch brings the tongue up to a last speed of $5.0 \mathrm{m} / \mathrm{s}$. It continues at this speed for $22 \mathrm{ms}$ until information technology hits its target.
a. How long does the acceleration phase last?
b. What is the total altitude traveled by the chameleon's tongue?
Guilherme B.
Numerade Educator
Problem 75
Heather and Jerry are standing on a bridge $50 \mathrm{1000}$ above a river. Heather throws a rock straight down with a speed of 20 $\mathrm{m} / \mathrm{southward} .$ Jerry, at exactly the aforementioned instant of time, throws a rock straight upwards with the same speed. Ignore air resistance.
a. How much fourth dimension elapses betwixt the first splash and the second splash?
b. Which stone has the faster speed as it hits the water?
Guilherme B.
Numerade Educator
Problem 76
A Thomson'south gazelle can run at very loftier speeds, merely its acceleration is relatively pocket-size. A reasonable model for the sprint of a gazelle assumes an acceleration of $4.2 \mathrm{m} / \mathrm{s}^{two}$ for $vi.5 \mathrm{southward}$, after which the gazelle continues at a steady speed.
a. What is the gazelle's summit speed?
b. A homo would win a very short race with a gazelle. The best fourth dimension for a $thirty \mathrm{thousand}$ sprint for a homo runner is $3.6 \mathrm{s}$. How much time would the gazelle accept for a $30 \mathrm{g}$ race?
c. A gazelle would win a longer race. The best time for a $200 \mathrm{m}$ sprint for a human runner is 19.3 s. How much time would the gazelle take for a $200 \mathrm{m}$ race?
Guilherme B.
Numerade Educator
Trouble 77
We've seen that a man's higher initial dispatch ways that he can outrun a horse in very short race. A simple-but plausible-model for a sprint by a man and a horse uses these assumptions: The human being accelerates at $vi.0 \mathrm{m} / \mathrm{s}^{2}$ for $i.8 \mathrm{s}$ and so runs at a constant speed. A horse accelerates at $5.0 \mathrm{m} / \mathrm{s}^{ii}$ but continues accelerating for $4.viii \mathrm{s}$ then continues at a constant speed. A man and a horse are competing in a $200 \mathrm{m}$ race. The man is given a 100 grand head showtime, so he begins 100 g from the finish line. How much time does the man take to consummate the race? How much time does the horse take? Who wins the race?
Guilherme B.
Numerade Educator
Problem 78
A pole-vaulter is virtually motionless as he clears the bar, set $4.2 \mathrm{chiliad}$ above the basis. He and then falls onto a thick pad. The meridian of the pad is $80 \mathrm{cm}$ in a higher place the ground, and it compresses past $50 \mathrm{cm}$ equally he comes to rest. What is his acceleration as he comes to residual on the pad?
Guilherme B.
Numerade Educator
Problem 79
A Porsche challenges a Honda to a $400 \mathrm{m}$ race. Because the Porsche'due south acceleration of $3.five \mathrm{thou} / \mathrm{s}^{2}$ is larger than the Honda's $3.0 \mathrm{m} / \mathrm{southward}^{two},$ the Honda gets a $100-\mathrm{k}$ head start-information technology is simply $300 \mathrm{m}$ from the finish line. Assume, somewhat unrealistically, that both cars can maintain these accelerations the unabridged distance. Who wins, and by how much time?
Guilherme B.
Numerade Educator
Problem 80
The minimum stopping distance for a machine traveling at a speed of $30 \mathrm{m} / \mathrm{s}$ is $60 \mathrm{m},$ including the distance traveled during the commuter'southward reaction time of $0.50 \mathrm{due south}$.
a. Draw a position-versus-time graph for the motion of the machine. Assume the car is at $x_{i}=0 \mathrm{thousand}$ when the driver first sees the emergency situation ahead that calls for a rapid halt.
b. What is the minimum stopping distance for the same car traveling at a speed of $40 \mathrm{k} / \mathrm{s} ?$
Guilherme B.
Numerade Educator
Trouble 81
A rocket is launched straight up with constant dispatch. Four seconds afterward liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 6.0 s afterward. What was the rocket's dispatch?
Guilherme B.
Numerade Educator
Problem 82
If an astronaut can leap straight upwardly to a superlative of $0.50 \mathrm{1000}$ on earth, how loftier could he leap on the moon?
A. $ane.ii \mathrm{thou}$
B. 3.0 chiliad
C. $3.6 \mathrm{g}$
D. $18 \mathrm{thou}$
Guilherme B.
Numerade Educator
Problem 83
I On the earth, an astronaut tin can safely leap to the ground from a elevation of $ane.0 \mathrm{k} ;$ her velocity when reaching the ground is boring enough to not cause injury. From what height could the astronaut safely spring to the ground on the moon?
A. $2.4 \mathrm{m}$
B. 6.0 chiliad
$\mathrm{C} .vii .2 \mathrm{m}$
D. $36 \mathrm{thou}$
Guilherme B.
Numerade Educator
Problem 84
On the globe, an astronaut throws a brawl direct upward; it stays in the air for a total fourth dimension of iii.0 southward before reaching the ground again. If a ball were to exist thrown up with the same initial speed on the moon, how much fourth dimension would laissez passer before it striking the ground?
A. $7.3 \mathrm{s}$
B. 18 southward
$C-44 s$
D. 108 s
Guilherme B.
Numerade Educator
Source: https://www.numerade.com/books/chapter/motion-in-one-dimension-12/
0 Response to "Use the Particle Model to Draw a Motion Diagram for a Bush Babys Jump"
Post a Comment