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Question

The acceleration-time graph of a body is shown in the figure. Its velocity-time graph can be given as

A


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B


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C


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D


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Solution

The correct option is A


We know that the slope of a v-t curve is acceleration, so constant acceleration means linear v-t curve,

From 0 to t1, acceleration is constant. Hence velocity increases uniformly. From t1 to t2, acceleration is zero, suggesting slope of v-t curve is zero. Hence velocity is constant and from t2 to t3, acceleration is constant and negative, i.e velocity decreases constantly.

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