Question

Explain Equation of Trajectory and derive it.

Answer 1

Trajectory means the path traced by a projectile.
Suppose a projectile of mass ‘m’ is projected with velocity ‘u’ at an angle θ with the ground.
The horizontal component of the initial velocity is, = u cosθ [this remains constant]
The horizontal displacement at any time ‘t’ is, X = = ut cosθ
=> t = X/(u cosθ)
The vertical component is given by, = u sinθ
The vertical displacement at any time ‘t’ is,


Which is the equation of a parabola. So, the path of the projectile is parabolic.

Answer 2

$\textbf{Answer is in attachment!}$