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.
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Based on Figures 1 and 2, for the ball either rolling or sliding down the ramp, and at D = 2m, as θ increases from 25° to 45°, X:CorrectIncorrect
For the rolling ball at θ = 20°, if D = 1.5, X would most likely beCorrectIncorrect
For the ball sliding down the ramp and D = 3m, if X had been plotted every 2.5° instead of every 5° between θ = 5° and θ = 45°, X would most likely have reached its maximum at which of the following θ?CorrectIncorrect
If D = 3m for the rolling ball and θ = 50°, X will most likely be closest to which of the following?CorrectIncorrect
As the ball rolls or slides down the ramp, which of the following graphs best illustrates the ball’s kinetic energy as it changes over time?CorrectIncorrect