Question

Prove that the path of a projectile is parabolic. Also derive the expressions for maximum height and horizontal range of a projectile.​

Answer 1

Answer:

Show that the path of a projectile is a parabola

Then, vertical component of u, uy=ucosθ

Horizontal component of ux=usinθ

X=uxt.

Again, y=uyt+1/2ayt2.

The range (R) of the projectile is the horizontal distance it travels during the motion. Using this equation vertically, we have that a = -g (the acceleration due to gravity) and the initial velocity in the vertical direction is usina (by resolving). Hence: y = utsina - ½ gt2