Maximum height of Projectile formula

In this post, we will focus on the formula to find the maximum height traversed by a projectile.

Maximum height of the Projectile formula

 The equation to find the maximum height reached by a projectile is as follows:
H_max = ( V₀sinθ )²/(2 g)

Derivation of the Maximum height of the Projectile formula

To derive this formula we will refer to the figure below.

Let’s say, the maximum height reached is H_max.
When the projectile reaches the maximum height then the velocity component along Y-axis i.e. V_y becomes 0. And, V₀sinθ is the initial velocity along the Y-axis.

Using one of the motion equations, we can write

(V_y)² =( V₀sinθ )² – 2 g H_max
=> 0 = ( V₀sinθ )² – 2 g H_max

=> H_max = ( V₀sinθ )²/(2 g) This is the equation to find the maximum height reached by a projectile.