The position-time graph for a body moving alo | vedclass

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(C) The velocity of a body is given by the slope of the position-time graph,which is $v = \frac{dx}{dt}$.$A$ body comes to rest when its velocity is z

Vedclass · Accepted Answer

$2$ times

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(C) The velocity of a body is given by the slope of the position-time graph,which is $v = \frac{dx}{dt}$.$A$ body comes to rest when its velocity is zero,which means the slope of the position-time graph must be zero.In the given graph,the slope is zero at the points where the curve has a local maximum and a local minimum.Since there is one local maximum and one local minimum between $O$ and $A$,the slope is zero at these two points.Therefore,the body comes to rest $2$ times.

The position-time graph for a body moving along a straight line between $O$ and $A$ is shown in the figure. During its motion between $O$ and $A$,how many times does the body come to rest?

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