A package of mass m is placed onto a horizontal conveyor belt moving at speed v (Fig. 7–32). The coefficient of kinetic friction between package and belt is μₖ. What is the package's displacement d during this time?

(II) An 85-m-long train begins uniform acceleration from rest. The front of the train has a speed of 18 m/s when it passes a railway worker who is standing 180 m from where the front of the train started. What will be the speed of the last car as it passes the worker? (See Fig. 2–45.) <IMAGE>

A person who is properly restrained by an over-the-shoulder seat belt has a good chance of surviving a car collision if the deceleration does not exceed 30 'g's' (1.00 g = 9.80 m/s². Assuming uniform deceleration at 30 g's, calculate the distance over which the front end of the car must be designed to collapse if a crash brings the car to rest from 95 km/h.

A robot used in a pharmacy picks up a medicine bottle at t = 0. It accelerates at 0.20 m/s² for 4.5 s, then travels without acceleration for 68 s and finally decelerates at ―0.40 m/s² for 2.5 s to reach the counter where the pharmacist will take the medicine from the robot. From how far away did the robot fetch the medicine?

A car slows down from 28 m/s to rest in 6.3 s. What was its (constant) acceleration?

A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 18.0 m of a race. What is the average acceleration of this sprinter and how long does it take her to reach that speed?

If a Tesla Model S P100D in 'Ludicrous mode' is pushed to its limit, the first $3.0\text{ s}$ of acceleration can be modeled as

What acceleration would be needed to achieve the same speed in the same time at constant acceleration? Give your answer as a multiple of $g$.

Consider the street pattern shown in Fig. 2–51. Each intersection has a traffic signal, and the speed limit is 40 km/h. Suppose you are driving from the west at the speed limit. When you are 10.0 m from the first intersection, all the lights turn green. The lights are green for 13.0 s each. Another car was stopped at the first light when all the lights turned green. It can accelerate at the rate of 2.00 m/s² to the speed limit. Can the second car make it through all three lights without stopping? By how many seconds would it make it, or not make it?