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 above.

ASSUME: Points A and C are inflection points.

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

I entered D,A,B and got it wrong. should it also be E even though E isnt moving?

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

I entered B and C and got it wrong.

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

For this one i entered C and D and got it wrong.

can you also explain how you got the answers? that would be really helpful. thanks

Explanation / Answer

c) at A and C the particle moving away from the origin ( moving away meaning it can move away in either negetive or positive direction.

d) at B the particle's acceleration negative ( because of the concave down nature of the curve indicating the second derivative to be negetive.)

e) at C the velocity of the particle negative ( because of the decresing nature of curve at that point indicating the negetive first derivative)

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