Physics Basketball

Physics Basketball
Question of basketball physics. How fast the player should give the ball?

A basketball player tries to shoot in the middle of Court Justice, the release of the ball at the height of the basket. Assuming that the ball is thrown to 54.0 °, 17.0 m from the basket, the speed with which the player must give the ball? In meters per second (m / s)

Let u be the projection speed, angle to the horizontal, s is the horizontal distance from the basket, time t flight, g the acceleration of gravity. Horizontal: s = ut Cos (a) … (1) vertical: 0 = no ut (a) – gt ^ 2 / 2 0 = T [sin u (a) - GT / 2] At the landing: sin (a) – gt / 2 = 0 t = 2u sin (a) / g (1) S = 2u ^ 2 sin (a) cos (a) / g ^ 2 = GS / sin (2a) U = sqrt [9.81 * 17.0 / sin (108)] = 13.2 m / s at 3 et seq. Fig

The Physics of Basketball