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Acceleration versus velocity graph of a ...

Acceleration versus velocity graph of a aprticle moving in a straight line starting form rest is as shon in figure. The corresponding velocity-time graph would be

A

B

C

D

Text Solution

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The correct Answer is:
D

`a=-kv+c [k gt 0, c gt 0]`
`int (dv)/(-kv+c)=intdtrArr-1/k ln(-kv+c)=t`
`rArr kv=c-e^(-kt)`
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