In the following displacement x versus time t | vedclass

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(A) In a displacement-time graph,the velocity at any point is given by the slope of the tangent to the curve at that point.Speed is the magnitude of v

Vedclass · Accepted Answer

$R$ only

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(A) In a displacement-time graph,the velocity at any point is given by the slope of the tangent to the curve at that point.Speed is the magnitude of velocity,so the magnitude of the slope represents the speed.At point $P$,the tangent is horizontal,so the slope is $0$,meaning the speed is $0$.At point $Q$,the slope is small (the curve is relatively flat).At point $R$,the tangent is very steep,meaning the magnitude of the slope $|m| = |	an 	heta|$ is the largest among the three points.Since the speed is the magnitude of the slope,the speed is highest at point $R$. Therefore,the speed is increasing as we move towards point $R$ from the preceding region of the graph.

In the following displacement $x$ versus time $t$ graph,at which among the points $P, Q$ and $R$ is the object's speed increasing?

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