Kinematics Castle: Basketball Free Throw
PREDICT
How this connects to AP Physics 1 (Topic 1.5, Vectors and Motion in Two Dimensions): the ball's horizontal velocity stays constant while the vertical velocity changes at g. The height at a horizontal distance x is y = y₀ + x tanθ − gx²/(2v²cos²θ). Several combinations of speed and angle make the shot, and the ball must be descending as it enters the hoop.