Ranking Task 4 The graph shown is of the motion of two children, Ariel and Byron
ID: 1884474 • Letter: R
Question
Ranking Task 4 The graph shown is of the motion of two children, Ariel and Byron, who are moving along a straight hallway. The vertical axis is not labeled. If the vertical axis is position, does either child ever change direction? If so, at what time or times does this change in direction occur? Explain. If the vertical axis is position, are the two children ever at the same position along the hallway? If so, at what time or times? Explain. If the vertical axis is position, do the two children ever have the same speed? If so, at what time or times? Explain. If the vertical axis is position, do the two children ever have the same acceleration? If so, at what time or times? Explain. If the vertical axis is velocity, does either child ever change direction? If so, at what time or times does this change in direction occur? Explain. If the vertical axis is velocity, do the two children ever have the same velocity? If so, at what time or times? Explain. If the vertical axis is velocity, do the two children ever have the same acceleration? If so, at what time or times? Explain. a. b. Time c. d. e. f. g.Explanation / Answer
(a) The children never change direction as their positions change only in the positive direction.
(b) They are both in the same position at the time when their curves intersect each other. They have the same position twice during the duration at 2 seconds and 9 seconds.
(c) They have the same velocity when the slope of the curves are equal. This happens at t = 6 seconds.
(d) They never have the same acceleration because Ariel is walking with constant speed and Byron is walking with constant acceleration.
(e) Yes. Ariel changes direction at 5 seconds and Byron changes direction at 6.5 seconds.
(f) They are both have the same velocity at the time when their curves intersect each other. They have the same velocity twice during the duration at 2 seconds and 9 seconds.
(g) They have the same acceleration when the slope of the curves are equal. This happens at t = 6 seconds.
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