Golf Ball Height Calculator

Formula

The formula to calculate the maximum height (H) of a golf ball is:

\[ H = \left( V₀ \sin(\theta) \right)^2 / (2 g) \]

Where:

Maximum Height (H): The highest vertical distance the golf ball reaches during its flight.
Initial Velocity (V₀): The speed at which the golf ball is struck.
Launch Angle (θ): The angle at which the golf ball is launched.
Acceleration Due to Gravity (g): The constant acceleration acting on the golf ball due to gravity, approximately 9.81 m/s².

Let's say the initial velocity (V₀) is 40 m/s and the launch angle (θ) is 45 degrees. Using the formula:

\[ H = \left( 40 \sin(45^\circ) \right)^2 / (2 \times 9.81) \]

We get:

\[ H = \left( 40 \times 0.707 \right)^2 / 19.62 = 800 / 19.62 = 40.78 \text{ meters} \]

So, the maximum height the golf ball reaches is approximately 40.78 meters.

Formula: \( h = \frac{v^2 \sin^2(\theta)}{2g} \)

Example: \( h = \frac{(30)^2 \sin^2(45)}{2 \times 9.81} \)

Formula: \( d = \frac{v^2 \sin(2\theta)}{g} \)

Example: \( d = \frac{(30)^2 \sin(90)}{9.81} \)

Formula: \( H = \frac{L}{\cos(\theta)} \)

Example: \( H = \frac{1.2}{\cos(30)} \)

Formula: \( V = \frac{4}{3} \pi r^3 \)

Example: \( V = \frac{4}{3} \pi (2)^3 \)

Formula: \( H = \frac{D}{2} \)

Example: \( H = \frac{4.27}{2} \)