Chapter 8, Problem 67EAP

In the absence of air resistance, a projectile that lands at the elevation from which it was launched achieves maximum range when launched at a 45° angle. Suppose a projectile of mass m is launched with speed v₀into a headwind that exerts a constant, horizontal retarding force ${\stackrel{\to }{F}}_{\text{wind}}=-F_{\text{wind}} \hat{i}$

a. Find an expression for the angle at which the range is maximum.

b. By what percentage is the maximum range of a 0.50 kg ball reduced if F_wind= 0.60 N?