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A self-propelled vehicle of mass m, whos...

A self-propelled vehicle of mass m, whose engine delivers a constant power P, has an acceleration `a = (P//mv)`. (Assume that there is no friction). In order to increase its velocity from `v_(1)` to `v_(2)`, the distan~e it has to travel will be:

A

`(3P)/(m)(v_(2)^(2)-v_(1)^(2))`

B

`(m)/(3P)(v_(2)-v_(1))`

C

`(m)/(3P)(v_(2)^(3)-v_(1)^(3))`

D

`(m)/(3P)(v_(2)^(2)-v_(1)^(2))`

Text Solution

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The correct Answer is:
C
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