A particle moves along the x -axis according to the graph of displacement vs. ti

Question

A particle moves along the x-axis according to the graph of displacement vs. time below.

(Position) This is graph looks like.
+?????B
l??A
l???????????????E
l_____________C________________> (Time)
l????????????D
l
l
-
(A toE is point of the graph, the graph looks like sin graph.)
<I couldnt upload my picture graph, so I just represent how graph looks like>

ASSUME: Points A and C are inflection points.

a) At which time (or times) is the particle farthest from the origin?

b) At which time (or times) is the particle at rest for only an instant?

c) At which time (or times) is the particle moving away from the origin?

d) At which time (or times) is the particle's acceleration negative?

e) At which time is the velocity of the particle negative?

Explanation / Answer

a) At which time (or times) is the particle farthest from the origin? C b) At which time (or times) is the particle at rest for only an instant? B c) At which time (or times) is the particle moving away from the origin? A d) At which time (or times) is the particle's acceleration negative? D e) At which time is the velocity of the particle negative? E

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