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. (Velocity )`""^(3//2)`
B. (Distance)`""^(2)`
C. (Distance )`""^(-2)`
D. (Velocity )`""^(2//3)`

Answer

A

Explanation

`x=(1)/(t+5)implies v=(dx)/(dt)=-(1)/((t+5)^(2))`
`"Accerleration ,a" = (dx)/(dt)=(2)/((t+5)^(3))`
`implies a prop"(velocity )"^(3//2)`