A rubber ball is released from a height of and is allowed to bounce repeatedly. Each time the ball strikes the ground, ten percent of the ball's kinetic energy is lost in the collision. What is the maximum height the ball will reach after hitting the ground four times?

A ball is thrown upward and reaches a maximum height of . What was the initial velocity of the ball?

A rock is dropped from rest from a height of . What is the velocity of the rock right before it hits the ground?

Scientists invent a frictionless surface that allows any object to slide without losing energy to friction. How would the energy of a ball change if it were rolled down the side of a bowl made of this frictionless material in a vacuum?

A block falls vertically from rest, under the influence of only a vertical gravitational field, onto a long vertical spring with spring constant of . It compresses the spring directly downward. If the block is moving at at the moment it contacts the spring, what is the total vertical distance it travels from the release point until the instant it comes to rest at maximum spring compression?

A ball is thrown upwards with a velocity of . Use conservation of energy to find the ball's maximum height.

A ball is fired directly upward and has a flight time of six seconds. At what time in the trajectory will the kinetic energy and potential energy of the ball be equal?