Solve the below problem:
Q: A sphere of radius r and mass m is projected along a rough horizontal surface with the initial velocities indicated. If the final velocity of the sphere is to be zero, express, in terms s of v0, r, and µk,
(a) The required magnitude of v0,
(b) The time t1 for the sphere to come to rest,
(c) The distance the sphere will move before coming to rest.