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Question

A body starts from rest at time t=0, the acceleration time graph is shown in figure. The maximum velocity attained by the body will be:

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A
110m/s
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B
55m/s
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C
650m/s
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D
550m/s
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Solution

The correct option is B 55m/s
We know that acceleration=ΔV/Δt so change in velocity ΔV=a×Δt, in other area under at graph is change in velocity so vu=area=12×10×11=55m/s
so final velocity v=u+55, putting initial velocity u=0 we get maximum velocity as 55m/s.

Its maximum because acceleration is positive for the given interval so velocity is increasing through out the interval.

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