: (20pts) Exercice 4: A ball of mass m is released from rest at time t = 0 from some height above the ground. If the ball's position y is measured as positive down, with the origin at the position of release (y=0), as shown in the picture below, then the differential equation governing the motion of the falling ball is du m =mg-Cav dt gravitational acceleration and Ca is where g is the constant the drag coefficient. g t=0 t>0 v(0) 0 v(t) y(1) 1. Solve this ODE to get the velocity of the ball function of time 2. Derive the ball's position as a function of time