Projectile Motion

: Horizontal velocity of aeroplane, Time of flight, Horizontal range, .

: At starting point, potential energy = 0 Maximum height attained by projectile or Potential energy gained or PE gained .

The energy possessed by a body due to velocity is known as kinetic energy of the body. When a body is projected with velocity at an angle with the horizontal, then kinetic energy (KE) of projection
kinetic energy of returning.

Since, velocity of projection is equal to velocity of return.
Hence, change in kinetic energy is zero.

Let a body be projected up with an initial velocity , inclined at an angle with the horizontal, then the velocity in horizontal and vertical motion is

The body moves under constant gravitational acceleration , acting vertically downward. Therefore, horizontal velocity remains constant but vertical velocity changes. The equation of trajectory is

This equation is quadratic in and linear in , therefore it represents a parabola.

For first ball At highest point, the kinetic energy is completely converted into its potential energy

or
For second ball



or