Falling Baseball You drop a baseball from the roof of a tall building. As the ball falls, the air exerts a drag force proportional to the square of the ball's speed (f= Dv2).
(a) In a diagram, show the direction of motion and indicate, with the aid of vectors, all the forces acting on the ball.
(b) Apply Newton's second law and infer from the resulting equation the general properties of the motion.
(c) Show that the ball acquires a terminal speed that is as given in Eq. (5.13).
(d) Derive the equation for the speed at any time. (Note:

dx where tanh(x)-27c" = e2x + 1 ee2 defines the hyperbolic tangent.)