1. The problem statement, all variables and given/known data A basketball is being thrown at the hoop (3.0m high) from 4.0 meters away. If the initial height of the ball is at 1.5m with an initial velocity of 3.0 m/s, at what angle should the ball be thrown? (Assume that air resistance is zero, and gravity = 9.81 m/s^2) 2. Relevant equations This is a kinematics problem. Even my teacher has trouble solving it. Please help. The main formulas are: xf = x0 + Vx t + 1/2 a t^2 yf = y0 + Vy t + 1/2 a t^2 3. The attempt at a solution By using the above two formulas, we came up with a quadratic equation involving tan() and cos() functions. We can't go further. Anyone suggestions? 12 tan(x) - 8.72(1/cos(x))^2 = 1.5 Let x be the starting angle of the ball being being thrown (above the horizontal) Note: you can't just throw the ball to the hoop in a straight line, you will hit the hoop instead.