Maximum Height of a Projectile Calculator

Formula

To calculate the Maximum Height (\(h\)):

\[ h = \frac{V₀^2 \cdot \sin^2(\alpha)}{2 \cdot g} \]

Where:

\(h\) is the Maximum Height (meters)
\(V₀\) is the Initial Velocity (m/s)
\(\alpha\) is the Launch Angle (degrees)
\(g\) is the Acceleration due to Gravity (9.81 m/s²)

What is Maximum Projectile Height?

Projectile motion is the act of an object moving in a two-dimensional plane with the x-axis representing the surface of the earth. In projectile motion, there is both vertical and horizontal motion. The maximum height of a projectile is the highest point it reaches during its flight.

Example Calculation

Let's assume the following values:

Initial Velocity (\(V₀\)) = 20 m/s
Launch Angle (\(\alpha\)) = 45 degrees

Using the formula:

\[ h = \frac{20^2 \cdot \sin^2(45)}{2 \cdot 9.81} \approx 10.19 \text{ meters} \]

The Maximum Height is approximately 10.19 meters.