A body is moving down a long inclined plane of inclination `45^(@)` with horizontal. The coefficient of friciton between the body and the plane varies as `mu = x//2`, where `x` is the distance moved down the plane. Initially `x=0 & v=0`

Options

A. When `x=2` the velocity of the body is `sqrt(gsqrt(2))m//s`
B. The velocity of the body increases all the time
C. At an instant when `v ne 0` the instantaneous acceleration of the body down the plane is `(g(2-x))/(2sqrt(2))`
D. The body first accelerates and then, decelerates.

Answer

a,c,d