The graphs represent the position X, velocity V, and acceleration a as a function of time T for a marble moving in one dimension. Which of the following could describe the motion of the marble? a. Rolling along the floor and then bouncing off a wallb. Rolling down one side of a bowl and then rolling up the other sidec. Rolling up a ramp and then rolling back downd. Falling and then bouncing elastically off a hard floorState the correct answer and then for each wrong choice, draw a sketch that shows what a position vs. time and velocity vs. time graph WOULD look like if that were the right answer. Since B is wrong it has been done for you and an example.

Question

ElizebethH93615 ElizebethH93615

29-10-2022
Physics

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The graphs represent the position X, velocity V, and acceleration a as a function of time T for a marble moving in one dimension. Which of the following could describe the motion of the marble? a. Rolling along the floor and then bouncing off a wallb. Rolling down one side of a bowl and then rolling up the other sidec. Rolling up a ramp and then rolling back downd. Falling and then bouncing elastically off a hard floorState the correct answer and then for each wrong choice, draw a sketch that shows what a position vs. time and velocity vs. time graph WOULD look like if that were the right answer. Since B is wrong it has been done for you and an example.

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MahiraE358744 MahiraE358744 · Answer 1 · 2022-10-29T01:05:16+02:00

Notice that the acceleration of the particle is constant and positive the whole time interval represented in the graphs.

Analyze each statement and its relation to the acceleration of the particle to find if it describes de graphs or not.

A) Rolling along the floor and the bouncing off a wall.

If this was the case, the speed should be constant until the particle bounces off a wall and the speed changes direction (acceleration should be 0). Since the speed is not constant in the graph, this case does not describe the motion of the particle.

B) Rolling down one side of the bowl and then rolling up the other side.

If this was the case, the acceleration would change its sign depending on which side of the bowl is the particle in. Since the acceleration is constant in the graphs, this case does not describe the motion of the particle.

C) Rolling up a ramp and then rolling back down.

The acceleration of a marble in a ramp is always constant, in this case the speed would uniformly increase with time and the graph of the position would be a parabola. Then, this case is a good representation of the movement of the particle.

D) Falling down and then bouncing elastically off a hard floor.

The acceleration of the particle falling down would be constant, but speed would suffer an abrupt change in sign when the ball bounces off the ground. Then, this case does not describe the motion of the particle.

Therefore, the correct choice is option C)

Rolling up a ramp and then rolling back down.