Projectile motion is a two-dimensional motion. Let the initial velocity is v0 at time t = 0, the x and y component of velocities of v_{0} is (v)_{0} and ( vy )_{0} at t = 0.

Here a_{y} = -g and ax= 0 (there is no x component of gravity)

Thus, ( v _{x} )_{0} remains constant throughout the projectile motion.

V _{x} = (vx)_{0}

vy = (vy) _{0} –gt

x = x_{0} +(vx)_{0} t

y = y_{0} +(vy)_{0} t -1 /2 gt_{2}

v^{2}_{y} = (v _{y})2_{0} – 2g (y – y_{0})

If initially there is no x0 and y0, i.e., x0= 0, y0 = 0 we start from origin 0 .