A rock with mass m slides with initial velocity Vo on a horizontal surface. A retarding force FR that the surface exerts on the rock is proportional to the square root of the instantaneous velocity of the rock (FR = -kv'P). (a) Find expressions for the velocity and position of the rock as a function of time. (b) In terms of m, k, and vo, at what time will the rock come to rest? (c) In terms of m, k, and vo, what is the distance of the rock from its starting point when it comes to rest?