Science 7

A small ramp makes an angle, θ, with the ground. Points A and B are on the ramp. The ramp is situated above a dug-out trough, D meters deep.

A small rubber ball is released from rest at Point A and allowed to roll down the ramp to Point B and allowed to drop freely from Point B to the bottom of the trough at Depth D. The ball first hits the ground at Point C, a horizontal distance X from the bottom of the ramp.

Figure 2 shows how X varies with θ for different trough depths D, in meters, when a rubber ball slides down the ramp.

Figure 3 shows how X varies with θ for different trough depths D if the ball rolls down the ramp.