The velocity (v)- time (t) plot of the motion | vedclass

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(B) The acceleration $(a)$ is defined as the rate of change of velocity,which corresponds to the slope of the velocity-time $(v-t)$ graph,i.e.,$a = \f

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(B) The acceleration $(a)$ is defined as the rate of change of velocity,which corresponds to the slope of the velocity-time $(v-t)$ graph,i.e.,$a = \frac{dv}{dt}$.$1$. In the first interval,the velocity increases linearly with time. Since the slope is constant and positive,the acceleration is constant and positive.$2$. In the second interval,the velocity is constant. Since the slope of a horizontal line is zero,the acceleration is zero.$3$. In the third interval,the velocity decreases linearly with time. Since the slope is constant and negative,the acceleration is constant and negative.Comparing this with the given options,the graph that shows a positive constant acceleration,followed by zero acceleration,and then a negative constant acceleration is represented by option $B$.

The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:
The acceleration $(a)-$ time $(t)$ graph that best suits this motion is:

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The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:The acceleration $(a)-$ time $(t)$ graph that best suits this motion is: