Equations of Motion for Projectiles

Here are the equations you will need to use in all projectile problems:

The x-component of the motion is very simple: no acceleration => constant velocity.
The y-component of the motion is a free fall with acceleration a = -g.

X - Equations

Y - Equations

(1) x = x₀ + v_x0 t
(2) v_x = v_x0

(3) y = y₀ + v_y0 t - g t²
(4) v_y = v_y0 - g t
(5) v_y,av = (v_y+ v_y0)
(6) y = y₀ + v_y,av t
(7) v_y² = v_y0² - 2g(y-y₀)