The acceleration versus time graph of a body | vedclass

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(D) The acceleration-time $(a-t)$ graph shows three distinct regions:$1$. In the first region,acceleration is constant and positive,which means veloci

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(D) The acceleration-time $(a-t)$ graph shows three distinct regions:$1$. In the first region,acceleration is constant and positive,which means velocity increases linearly with time (slope is constant and positive).$2$. In the second region,acceleration is zero,which means velocity remains constant (a horizontal line on the $v-t$ graph).$3$. In the third region,acceleration is constant and positive,but its magnitude is greater than in the first region. This means velocity increases linearly with time again,but with a steeper slope compared to the first region.Therefore,the velocity-time graph should show a linear increase,followed by a horizontal line,and then a steeper linear increase. This matches the graph in option $(D)$.

The acceleration versus time graph of a body starting from rest is shown in the figure. The velocity versus time graph of the body is given by:

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