Question

prove that the path of projectile is parabolic

Answer 1

Projectile Given Angular Projection

Equation of path of projectile Suppose at any timet, the object is at point P (x,y).

For motion along horizontal direction, the accelerationaxis zero. The position of the object at any timetis given by,

Here,x0= 0,ux=ucosθ,ax= 0

[Velocity of an object in the horizontal direction is constant]

Putting these values in equation (i),

⇒x=utcosθ

⇒

For motion along vertical direction, the accelerationayis g.

The position of the object at any timetalong the vertical direction is given by,

Here,

∴

Putting the value oftfrom equation (ii),

⇒

This is an equation of a parabola. Hence, the path of the projectile is a parabola.