A particle initially (i.e. at t = 0) located at x = 0 moves along the positive x-direction. The velocity of the particle varies with x-as `v = ksqrtx`, where k is a constant. Then

Options

A. the displacement x varies with time tas `x = (k^2t^2)/4`
B. the velocity v varies with time tas `v = 1/2k^2t`
C. the acceleration of the particle is `1/2k^2`
D. the displacement s travelled by the particle in time T is `s = 1/4 k^2T^2`

Answer

A, B, C, D