In this project, you are to simulate the trajectories of a basketball as it is launched inside a court. The ball, initially at rest, is thrown at an initial speed, U mag, 0 , in the direction de- scribed by aim angles and . In flight, the motion of the ball is influenced by gravitational, drag and Magnus (due to spinning) forces. You will examine the trajectories of various shots which are launched with different initial conditions to explore the optimal shooting angle for a free throw. The trajectory of the basketball can be described by the following equations: U t = C d A 2 mU U 2 V 2 W 2 C m Ar 2 m ( y W z V ) , V t = C d A 2 mV U 2 V 2 W 2 C m Ar 2 m ( z U x W ) , W t = C d A 2 mW U 2 V 2 W 2 C m Ar 2 m ( x V y U ) g, X t = U, Y