If the velocity-time graph has the shape AMB, | vedclass

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(B) The acceleration $a$ is defined as the slope of the velocity-time $(v-t)$ graph,i.e.,$a = \frac{dv}{dt}$.In the given $v-t$ graph,the segment $AM$

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(B) The acceleration $a$ is defined as the slope of the velocity-time $(v-t)$ graph,i.e.,$a = \frac{dv}{dt}$.In the given $v-t$ graph,the segment $AM$ represents a straight line with a constant negative slope. Therefore,the acceleration is constant and negative during this interval.The segment $MB$ represents a straight line with a constant positive slope. Therefore,the acceleration is constant and positive during this interval.Thus,the acceleration-time graph will show a constant negative value followed by a constant positive value,which matches the shape shown in option $B$.

$(1)$ Velocity decreases	$(a)$ Linear graph (constant slope)
$(2)$ Velocity increases	$(b)$ Concave up graph (increasing slope)
$(3)$ Velocity is constant	$(c)$ Concave down graph (decreasing slope)

If the velocity-time graph has the shape $AMB$,what would be the shape of the corresponding acceleration-time graph?

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