Projectile Motion

The maximum height reached by a projectile is determined using the vertical component of the initial velocity. Let's break down the solution:

1. Identify the vertical component of the initial velocity: The initial velocity can be divided into horizontal and vertical components. The vertical component is given by:

2. Find the expression for maximum height: At maximum height, the vertical velocity becomes zero. Using the equation of motion: where , , and (the displacement or height), the equation becomes:

3. Solve for : Rearranging the equation to solve for , we get:

Thus, the maximum height reached by the projectile is .