Question

An h1 = 2.10 m tall basketball player wants to make a basket from a distance d = 19.2 m, as seen in the figure. If he shoots the ball at α = 54.4° angle, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? The height of the basketball hoop is h2 = 3.05 m.

Answer 1

3.05 = -1/2 g t^2 + v sin(α) t + 2.10

19.2 = v cos(α) t

plug in sin and cos values

solve the system for v (and t)