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Q. The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals $OA$ and $AB$ isPhysics Question Image

Motion in a Straight Line

Solution:

During $OA$, acceleration $=\tan 30^{\circ}=\frac{1}{\sqrt{3}} \,m / s ^2$
During $AB$, acceleration $=-\tan 60^{\circ}=-\sqrt{3} \,m / s ^2$
Required ratio $=\frac{1 / \sqrt{3}}{\sqrt{3}}=\frac{1}{3}$