Golf Ball Height Calculator

The Golf Ball Height Calculator is a practical tool that helps golfers estimate how high a golf ball will travel when hit at a certain speed and angle. By entering details such as launch velocity and launch angle, the calculator uses physics-based formulas to calculate the peak height of the shot.

This calculator belongs to the sports and physics calculation category. It is valuable for players who want to improve their game, coaches analyzing ball flight, and enthusiasts who enjoy understanding the science behind golf.

formula

Maximum Height Formula

This formula calculates the peak height of the golf ball’s trajectory.

H = (V₀ * sin(θ))² / (2 * g)

Breakdown:

• Step 1: Find the vertical velocity = V₀ * sin(θ)
• Step 2: Square the vertical velocity = (V₀ * sin(θ))²
• Step 3: Find 2 * g (where g = 9.8 m/s²)
• Step 4: Divide the squared vertical velocity by 2 * g

Time to Reach Maximum Height (t)

t = (V₀ * sin(θ)) / g

Maximum Height Using Time

H = (g * t²) / 2

Important Note: When calculating sine (sin), make sure the calculator is set to the correct mode (degrees or radians) depending on how your launch angle is given.

Helpful Reference Table

Here is a quick reference table showing estimated peak heights for different launch speeds and angles. The values assume g = 9.8 m/s².

This table makes it easy for golfers to see how both speed and angle affect the height of a shot.

Example

Suppose a golf ball is hit with an initial speed of 40 m/s at a launch angle of 45°.

Step 1: Vertical velocity = V₀ * sin(θ) = 40 * sin(45°) = 40 * 0.707 = 28.28 m/s

Step 2: Square the result = 28.28² = 799.8

Step 3: Two times gravity = 2 * 9.8 = 19.6

Step 4: Divide 799.8 / 19.6 = 40.8 meters

So, the golf ball will reach a maximum height of about 40.8 meters.

Most Common FAQs