A 54.0-g Super Ball traveling at 29.0 m/s bounces off a brick wall and rebounds at 21.5 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 4.40 ms, what is the magnitude of the average acceleration of the ball during this time interval?

B3

Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is dropped at an elevation of 400 m from a hot-air balloonthat is descending at a rate of 10 m/s.

Suppose a car manufacturer tested its cars for front-end collisions by hauling them up on a crane and dropping them from a certain height. What height corresponds to a collision at 55 km/hkm/h ? Express your answer to two significant figures and include the appropriate units.   What height corresponds to a collision at 110 km/hkm/h ? Express your answer to two significant figures and include the appropriate units.

A model rocket is launched from the ground at rest. The acceleration of the rocket is ?⃗ = 90 ?̂ ? ? 2 . After 1.5 seconds, the rocket fuel is expended, and the acceleration of the rocket returns to ?⃗ = −9.8 ?̂ ? ? 2 . a) Find the velocity of the rocket just as the fuel is expended (Answer: 135?̂ ? ? ) b) Find the height of the rocket just as the fuel is expended (Answer: 101?̂ ?) c) How long does it take the rocket to reach maximum height after the fuel is expended? (Answer: 13.8 ?) d) What is the maximum height of the rocket? (Answer: 1031 ?) e) What is the impact velocity of the rocket as it hits the ground? (Answer: −142?̂ ? �

A 50.0-g Super Ball traveling at 28.0 m/s bounces off a brick wall and rebounds at 18.5 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.45 ms, what is the magnitude of the average acceleration of the ball during this time interval?

You step onto a hot beach with your bare feet. A nerve impulse, generated in your foot, travels through your nervous system at an average speed of 139m/s. How much time does it take for the impulse, which travels at a distance of 1.81m, to reach your brain?

You and a friend ride your bikes to a restaurant across town. Both of you start at the same instant from your house, you riding 10 m/s and your friend riding 12 m/s. During the trip your friend has a flat tire and that takes him 8 minutes to fix. He then continues the trip at the same speed of 12 m/s. If the distance to the restaurant is 10 km, who gets there first?

M5

A 50.0-g Super Ball traveling at 25.5 m/s bounces off a brick wall and rebounds at 20.5 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.80 ms, what is the magnitude of the average acceleration of the ball during this time interval?