Projectile Motion

In a projectile motion of an object imparted a velocity (v), the key assumptions are:

no air resistance to the motion of the object
earth is flat
acceleration due to gravity is uniform everywhere

Motion of the object along x and y direction are independent of each other. The important quantities in a projectile motion are R = Horizontal Range, H = Maximum Height above ground, and T = Time of flight.

For a particle projected with velocity ‘v’ and at an angle ‘θ’ with the horizontal.

$R=v^2*sin(2\Theta)/g$

$H=v^2*sin^2(\Theta)/2g$

$T=2*v*sin(\Theta)/g$