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

Options

A. `v^(2//3)`
B. `v^(3//2)`
C. `d^2`
D. `d^(-2)`

Answer

B

Explanation

`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)`