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A particle move a distance x in time t a...

A particle move a distance `x` in time `t` according to equation `x = (t + 5)^-1`. The acceleration of particle is alphaortional to.

A

`v^(2//3)`

B

`v^(3//2)`

C

`d^2`

D

`d^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x = (t+5)^(-1)`
`rArr v = (dx)/(dt) = -1 (t + 5)^(-2) rArr a = (dv)/(dt) = 2(t + 5)^(-3)`
`rArr 2(t + 5)^(-2) xx (t + 5)^(-1)`
`rArr 2 (-v) xx (-v)^(1/2) rArr 2(-v)(3/2)`
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