If a point moves in a straigth line in such a manner that its retardation is porportional to its speed, the distance covered (x) is associated with speed (v) is -

Options

A. `x prop V`
B. `x prop V^(2)`
C. `X prop V^(3)`
D. `x prop - V`

Answer

B

Explanation

f = at
`(dv)/(dt) = at`
`intdv=int"at "dt`
`v-x =(at^(2))/(2)`
`v = x+(at^(2))/(2)`