- Equation of path of projectile − Suppose at any time t, the object is at point P (x, y).
Here, x0 = 0, ux = u cos θ, ax = 0
[Velocity of an object in the horizontal direction is constant]
Putting these values in equation (i),
⇒ x = ut cos θ
For motion along vertical direction, the acceleration ay is −g.
The position of the object at any time t along the vertical direction is given by,
Putting the value of t from equation (ii),
This is an equation of a parabola. Hence, the path of the projectile is a parabola.