Formulas

  • velocity downward

    • \$v = g t\$

  • height

    • \$h = h_0 - \frac{1}{2}t^2\$

  • how long any object takes to fall from a given height

    • \$t = \sqrt{\frac{2h}{g}}\$

  • restitution

    • \$v_1 = e * v_0\$

    • the coefficent of resitution (e) represents energy loss.

  • rising

    • \$ v = e * v - g t \$

  • falling

    • \$ v = g t \$

Restitution

Typical values:

  • Rubber ball: \$e \approx 0.8 - 0.9\$

  • Basketball: \$e \approx 0.75\$

  • Tennis ball: \$e \approx 0.6\$