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Chapter 2: 16 PE (page 82)
A cheetah can accelerate from rest to a speed of 30.0 m/s in 7.00 s. What is its acceleration?
The acceleration of the cheetah is 4.28 m/s2.
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(a) A world record was set for the men’s 100 mdash in the 2008 Olympic Games in Beijing by Usain Bolt of Jamaica. Bolt “coasted” across the finish line with a time of . If we assume that Bolt accelerated for3.00 sto reach his maximum speed, and maintained that speed for the rest of the race, calculate his maximum speed and his acceleration.
(b) During the same Olympics, Bolt also set the world record in the200 mdash with a time of 19.30 s Using the same assumptions as for the 100 mdash, what was his maximum speed for this race?
Consider a grey squirrel falling out of a tree to the ground.
(a) If we ignore air resistance in this case (only for the sake of this problem), determine a squirrel’s velocity just before hitting the ground, assuming it fell from a height of 3.0 m.
(b) If the squirrel stops in a distance of 2.0 cmthrough bending its limbs, compare its deceleration with that of the airman in the previous problem.
Dragsters can actually reach a top speed ofin onlyconsiderably less time than given in Example 2.10 and Example 2.11.
(a) Calculate the average acceleration for such a dragster.
(b) Find the final velocity of this dragster starting from rest and accelerating at the rate found in (a) for 402 m(a quarter mile) without using any information on time.
(c) Why is the final velocity greater than that used to find the average acceleration?
Hint: Consider whether the assumption of constant acceleration is valid for a dragster. If not, discuss whether the acceleration would be greater at the beginning or end of the run and what effect that would have on the final velocity.
In a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in the same direction. If this shot takes\({\bf{3}}{\bf{.33 \times 1}}{{\bf{0}}^{{\bf{ - 2}}}}\;{\bf{s}}\), calculate the distance over which the puck accelerates.
A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/s, and her take-off point is above the pool. (a) How long are her feet in the air? (b) What is her highest point above the board? (c) What is her velocity when her feet hit the water?
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