A cart of mass `3m` is on a smooth horizontal ground. The cart surface consists of an incline plane `AB` and horizontal surface `BD` both of which are frictionless. The cart is initially at rest and a small block of mass `m` is released from point `A`. Assume that the corner `B` is rounded so that mass in passes it smoothly. The length of part `BD` of car be `L` and the vartical height of incline plane `AB` be `h` as shown in digram

Select correct option(s)

Options

A. The distance moved by the cart during the time interval in which block slides from `B` to `D` is `(L)/(4)`.
B. The distance moved by the cart during the time interval in which block slides from `B` to `D` is `(L)/(3)`.
C. From `B` to `C` acceleration of block is constant
D. From `B` to `C` acceleration of block is zero

Answer

A, C, D

Explanation

Distance `= v_(2)t = sqrt((gh)/(6)). sqrt((3L^(2))/(8gh)) = (L)/(4)`