Peak Height Calculator

Formula

The formula to calculate the Peak Height (H) is:

\[ H = \frac{V^2 \cdot \sin^2(\theta)}{2 \cdot g} \]

Where:

\(H\) is the peak height (meters)
\(V\) is the initial velocity (meters per second)
\(\theta\) is the angle of projection (degrees)
\(g\) is the acceleration due to gravity (9.81 m/s²)

Peak Height Definition

Peak height in projectile motion refers to the maximum vertical distance a projectile reaches above its launch position. It is a key characteristic in the study of kinematics and is influenced by the initial velocity of the projectile and the angle at which it is projected. Understanding peak height is important in various applications such as sports, ballistics, and engineering.

Example Calculation

Let's assume the following values:

Initial Velocity (V) = 20 m/s
Angle of Projection (θ) = 45 degrees

Using the formula to calculate the Peak Height (H):

\[ H = \frac{20^2 \cdot \sin^2(45^\circ)}{2 \cdot 9.81} \approx 10.1937 \, \text{meters} \]

The Peak Height (H) is approximately 10.1937 meters.