Kinematics, Motion in One Dimension

1) A freely falling apple hits the ground in 5.00 seconds.

a) What was the height it was released from?

b) What is the impact velocity?

2) A bowling ball is dropped, and a tennis ball is thrown down from the same height.

a) Which ball will have the greatest acceleration?

b) Which ball will strike the ground with highest velocity?

3) A train is moving up a steep grade at constant velocity when its wagon breaks loose and starts rolling freely along the track. After 8.0 s, the caboose is 55 m behind the train. What is the acceleration of the wagon?

4) A cop waits in hiding slightly off the highway. A cop spots the speeding car going at a speed of 40 m/s. At the instant the speeding car passes the cop car, the cop car accelerates from rest at 6 m/s2to catch the speeder. How long does it take the cop car to catch the speeder?

5) A hot-air balloon rises from the ground at a constant velocity of 3 m/s. One minute after the takeoff, a sandbag is dropped accidently from the balloon. Calculate the (a) time it takes for the sandbag to reach the ground and (b) the velocity of the sandbag when it hits the ground.

6) A ball is thrown straight up. It passes a 2.00 m high window 7.50 m off the ground on its path up and takes 1.30 sec to go past the window. What was the ball's initial velocity?