What does the area enclosed by the accelerati | vedclass

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(B) The acceleration-time graph represents the acceleration $a$ on the $y$-axis and time $t$ on the $x$-axis.The area under the acceleration-time grap

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Change in velocity

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(B) The acceleration-time graph represents the acceleration $a$ on the $y$-axis and time $t$ on the $x$-axis.The area under the acceleration-time graph is given by the integral $\int a \, dt$.Since $a = \frac{dv}{dt}$,we have $dv = a \, dt$.Integrating both sides,$\int_{v_1}^{v_2} dv = \int_{t_1}^{t_2} a \, dt$,which gives $\Delta v = v_2 - v_1$.Therefore,the area under the acceleration-time graph represents the change in velocity of the particle during the given time interval.

What does the area enclosed by the acceleration-time graph for any time interval represent?

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