Content

Calculations

To help athletes better understand how they should shoot the ball, we used physics calculations. We determined the force you should shoot the ball with and the velocities the ball should fly with.

Force

Velocities

We recommend using a force of 15.1N to push to ball off to start. In order to find this force we multiplied the mass of the ball, 0.57kg, by the acceleration of the my arm pushing the ball, 26.6m/s/s to get the total force of 15.1N

The ball should be shot with three different specific velocities. The horizontal velocity, Vh is equal to the horizontal distance the ball covers, 4.6m, divided by the time it takes for the ball to go from my hand to the hoop, 1.12s. That equation would give you a horizontal velocity of 4.11m/s. Vertical velocity is quite similar yet still so different. In order to calculate the vertical velocity, or Vv you multiply the acceleration due to gravity, Ag, which is 9.8m/s/s by the time the ball is being pushed upwards by the shooters hand, which was 0.6s, to get a vertical velocity of 5.88m/s. And total velocity is found by using the Pythagorean Theorem, a^2 + b^2 = c^2. The vertical velocity is going to be represented by a, the horizontal velocity will be represented by b and the total velocity will be represented by c. So to solve, you would use the equation, 4.11^2 + 5.88^2 = c^2, and solve for c, giving you a total velocity of 7.17m/s.