A cart loaded with sand moves along a horizontal plane due
to a constant force F coinciding in direction with the cart's velocity
vector. In the process, sand spills through a hole in the bottom with
a constant velocity tt kg/s. Find the acceleration and the velocity of
the cart at the moment t, if at the initial moment t = 0 the cart
with loaded sand had the mass mo and its velocity was equal to zero.
The friction is to be neglected.