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The acceleration versus time graph of a ...

The acceleration versus time graph of a particle moving in a straight line is show in figure. The velocity-time graph of the particle would be
.

A

A straight line

B

A parabola

C

A circle

D

An ellipse

Text Solution

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The correct Answer is:
B
`a=-(4)/(2) t+4 rArr a=-2t+4`
`v=int a dt+C =int (-2t +4) dt + C=- t^(2) +4t+C`
Hence, graph will be parablic.
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