Derive an expression for the velocity of a ball on an incline as a function of the position?
I have made a sketch of the situation:
Description: We have a man with the mass M=80 kg, who is running at a constant velocity of v = 5 m/s down the incline. The incline has an angle, theta, of 20 degrees measured from horizontal. At time t = 0 s, the man passes a ball. The ball is initially at rest, but it starts to roll (no gliding/slipping) at t = 0 s. The ball is hollow, has a radius R = 20,0 cm and a mass of m = 9,00 kg. We assume that there is no air resistance or friction between the ball and the incline.
I have decided to put the x-axis along the incline with x = 0 at the place where the ball starts to roll from.