A ball is dropped off the top of a 56 m tall tower. The ball is initially at rest. Calculate the time it takes to reach the ground. Calculate the impact speed. Neglect air resistance.
The acceleration due to gravity near the surface of the Earth is . The initial velocity is .
To solve for the time, use the formula . For this problem . Since the height of the tower is 56 m tall, the initial position is 56 m and the final height is 0 m.
The impact velocity can be calculated in two ways.
Thus, the impact speed is 33.12 m/s.