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If rocket engine ejects fuel at the rate...

If rocket engine ejects fuel at the rate `mu` kg/s with relative velocity `v_(r)`. At time t = 0, speed of rocket is u. Consider the value of acceleration due to gravity is constant and equal to g.

Find velocity of rocket as function of time.

A

`u-v_(r). "In" ((M_(0))/(M_(0)-mut))+gt`

B

`u+v_(r).` "In" `((M_(0))/(M_(0)-mut))-gt`

C

`u+v_(r)."in"((M_(0))/(M_(0)+mut))+gt`

D

`u+v_(r)."in"((M_(0))/(M_(0)+mut))-gt`

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The correct Answer is:
B
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