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Q.

A car of mass M accelerates starting from rest. Velocity of the car is given by V=2PtM1/2 where ‘P’ is the constant power supplied by engine. The position of a car as a function of time is given by

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a

8P9M1/2t3/2

b

9P8M1/2t3/2

c

8P9M1/2t2/3

d

9P8Mt3

answer is A.

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Detailed Solution

v=2Ptm1/2dsdt=2Ptm1/2ds=2Pm1/2t1/2dt   On integrating s=8P9m12t32

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