The figure below is a graph of a particle\'s position along an x axis versus tim

Question

The figure below is a graph of a particle's position along an x axis versus time.

(a) At time t = 0, what is the sign of the particle's position?

plus or minus

(b) Is the particle's velocity positive, negative, or zero at t = 1 s?

positive negative or zero

(c) Is the particle's velocity positive, negative, or zero at t = 2 s?

positive negative or zero

(d) Is the particle's velocity positive, negative, or zero at t = 3 s?

positive negative or zero

(e) How many times does the particle go through the point x = 0?

four timesthree times    twiceoncenever

Explanation / Answer

(a) Negative.

At t = 0, the graph shows the position to be negative (below the horizontal axis).

(b,c,d) For these questions, the sign of the velocity depends on whether the slope is positive or negative at the time instant mentioned. If it is positive then v is positive, if negative then v is also negative.

(b) Positive

(c) Zero (since slope is zero)

(d) Negative

(e) Twice

One at t=1s and other at t=3s.

Hope this helps :)

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