Figure shows the position of a particle moving on the X-axis as a function of time.

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The particle has come to rest 6 times.

The maximum speed is at $t = 6 s$

The velocity remains positive for $t = 0$ to $t = 6 s$

The average velocity for the total period shown is negative

answer is A.

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Detailed Solution

The slope of the displacement time curve gives velocity. There are six points in this graph where the tangents have zero slopes. So, the particle has come to rest 6 times during this entire motion.

At t=6 s, the velocity will not be maximum as the slope at this point is parallel to t.

The velocity will not be positive all the time because the given curve has both positive and negative slopes from t=0 sec to t=6 sec. So The average velocity will be positive from t=0 sec to t=6 sec as the total displacement is positive.

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