Consider a sled and rider sliding down an icy (frictionless) hill from point A to point B shown to the right. A sled and rider have a combined mass m of 62 kg and is measured to have a speed of 3 m/s at point A which is 5.8 m above the flat ground. The rider then collides with their younger sister and grabs ahold so both are riding the sled together (an inelastic collision). The sister has mass m of 42 kg and is standing still before the sled hits her. After the collision, the two riders stay on the sled and slide on a flat rough surface, which is no longer icy, until they finally stop. 5.8m A m m B (a) (10 pts) Find the velocity of rider immediately before they collide with their sister. (b) (10 pts) Find the velocity of sled with both riders after the collision. (c) (10 pts) Calculate the distance traveled for the combined mass over the rough surface if the coefficient of kinetic friction is 0.48.