The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals $O…

The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals $O A$ and $A B$ is
  1. 1
  2. $\frac{1}{2}$
  3. $\frac{1}{3}$
  4. 3

Solution

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

Asked in: JEE Mains - Motion In One Dimension - Test 3

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