Maximum Height Calculator (Projectile Motion)

Find the peak height of a projectile.

Launch speed

Launch angle (°)

Gravity (m/s²)

Maximum height 10.194

Formula: H = (v₀·sinθ)² ÷ (2g)

Step-by-step with your numbers:

1. Values used:

2. Launch speed = 20

3. Launch angle = 45 °

4. Gravity = 9.81 m/s²

6. Maximum height = 10.194

Did we solve your problem today?

Find how high a projectile rises before falling back down.

The math behind it

Only the vertical velocity v₀·sinθ matters: H = (v₀·sinθ)² ÷ (2g).

20 m/s at 45° → 10.19 m.

When is height greatest?

At a 90° (straight up) launch, where all the speed is vertical.