The position-time graph shown in represents the motion of two children, Ariel an

Question

The position-time graph shown in 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) Are the two children ever at the same position along the hallway? If so, at what time or times does this happen? Explain your reasoning. c) Do the two children ever have the same speed? If so, at what time or times does this happen? Explain your reasoning. d) Do the two children ever have the same If so, at what time or times does this happen? Explain your reasoning.

Explanation / Answer

(a) No, the children never change the direction because the slope of the curves is positive at all times.

(b) Both of them are at the same position at t=2s and t=9 s.

(c) Both the children have the same speed at t=6s.

(d) No, they never have never had the same acceleration.

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