A runner wants to complete a run in less than . After running at constant speed for exactly , the runner still has left to run. The runner must then accelerate at for how many seconds in order to reach a final velocity that will allow them to complete the left of the race in the desired time?

Trevor is traveling when he sees a red light ahead. His car is capable of decelerating at a rate of . If it takes him to get the brakes on and he is from the intersection when he sees the light, how far from the beginning of the intersection will he be, and in what direction? In other words, will he be able to stop in time?

Along a highway there is an unmarked police car traveling a constant . The officer is passed by a speeder traveling . Precisely after the speeder passes, the officer steps on the accelerator to catch the speeder. If the police car’s acceleration is , how much time passes before the police car overtakes the speeder? Assume here that the speeder is moving at a constant speed.

A ball rolls to a stop after . If it had a starting velocity of , what is the deceleration on the ball due to friction?

Usain Bolt accelerates from rest to over a distance of . What is his acceleration? Assume the acceleration is constant.

Peter starts from rest and runs down a hallway . If his final velocity is , how far did he run?

Objects and both start at rest. They both accelerate at the same rate. However, object accelerates for twice the time as object . What is the final speed of object compared to that of object ?

Objects and both start from rest. They both accelerate at the same rate. However, object accelerates for twice the time as object . What is the distance traveled by object compare to that of object ?

Suppose a can is kicked and then travels up a smooth hill of ice. Which of the following is true about its acceleration?