The velocity-time graph shown represents the motion of two children. Ariel and B

Question

The velocity-time graph shown represents the motion of two children. Ariel and Byron. who are moving along a narrow, straight hallway. (a) Do either of the children ever change direction?? If so, at what time or times does this change in direction occur? Explain your reasoning. (b) Do the two children ever have tile same velocity?? If so, at what time or times does this occur? Explain your reasoning. (C) Do the two children ever have the same acceleration? If so, at what time or times does happen?? Explain your reasoning.

Explanation / Answer

Part A

from graph when their velocity changes from negative to positive then direction of motion changes. this point is where their velocity become zero.

For areil t= 5 seconds

Byron t = 6.5 seconds

Part B

Where the graphs of both cut both have the same velocity

This happens two times

at t = 2 seconds and t = 9 seconds

Part C

acceleration of two will be equal ifslope of tangent at any point on graph is same for both at same time but there is no point on the graph where both have same slope of tangent so their acceleration is never equal.

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