Sports & Motion Analytics

Intermediate

Projectile Max Height

Peak height reached by a launched projectile.

Formula

H = \frac{v^2 \sin^2\theta}{2g}

Variables

HMax height (m)

vLaunch speed (m/s)

θLaunch angle

gGravity 9.81 m/s²

Example

20 m/s at 60°: H = 400×0.75÷19.62 ≈ 15.3 m

Did You Know?

A football kicked at 60° climbs higher but lands shorter than one at 30° with the same speed.

sports projectile height

Share this formula

More in Sports & Motion Analytics

Projectile Range

Horizontal distance a ball travels when launched at speed v and angle θ.

Hang Time

Total time a projectile spends in the air on level ground.

Running Pace

Time taken per unit distance — the runner's pace.

Speed from Pace

Convert a running pace in min/km into speed in km/h.

Expected Goals (xG)

Sum of scoring probabilities of every chance a team creates.

Elo Rating Update

Updates a player's rating after a game based on result versus expectation.