Motion along horizontal direction:
Motion along vertical direction:
Eliminating t from (1) and (2),
This the required equation of trajectory.
Since the equation of trajectory is the equation of parabola, therefore projectile follows parabolic path.
Velocity of projectile:
Let at any instant, be the velocity of the projectile making an angle with the horizontal.
ux = u cos , uy = u sin
ax = 0 , ay = -g
vx = ux + axt , vy = uy + ayt
vx = u cos , vy = u sin - gt
The velocity f the projectile is given by,
Angle pf projection is given by, tan =