Projectile Motion Calculator

Find range, max height and flight time of a projectile.

Launch speed

Launch angle (degrees)

Range 40.775

Max height 10.194

Time of flight 2.883

Formula: range = v²·sin(2θ) ÷ g

Step-by-step with your numbers:

1. Values used:

2. Launch speed = 20

3. Launch angle = 45 degrees

5. Range = 40.775

6. Max height = 10.194

7. Time of flight = 2.883

Did we solve your problem today?

Find the trajectory of a projectile launched from ground level (ignoring air resistance).

The math behind it

range = v²·sin(2θ)/g; max height = v²·sin²θ/(2g); flight time = 2v·sinθ/g.

20 m/s at 45° → range 40.8 m, height 10.2 m.

Max range angle?

45° gives the maximum range on level ground.