To determine the height of the tower and the velocity at which the ball hits the ground, we can use the equations of motion under constant acceleration. In this case, the acceleration is due to gravity, which is approximately 9.8 m/s² near the surface of the Earth.
First, let's find the height of the tower using the equation:
Height = (1/2) x Acceleration x Time²
Plugging in the values: Acceleration = 9.8 m/s² Time = 5 s
Height = (1/2) x 9.8 m/s² x (5 s)² Height = 122.5 m
Therefore, the height of the tower is 122.5 meters.
Next, let's calculate the velocity at which the ball hits the ground using the equation:
Velocity = Acceleration x Time
Plugging in the values: Acceleration = 9.8 m/s² Time = 5 s
Velocity = 9.8 m/s² x 5 s Velocity = 49 m/s
Therefore, the velocity with which the ball hits the ground is 49 meters per second.