Projectile Motion Calculator
Find time of flight, horizontal range, and peak height for launches with optional initial height
Enter Launch Conditions
The model assumes no air resistance and constant gravitational acceleration.
Use 9.81 m/s² for Earth, 1.62 for Moon, 3.71 for Mars, etc.
Key Values
- Time of flight:
- Time to apex:
- Horizontal range:
- Peak height:
Components
- v₀x:
- v₀y:
- Launch height:
- Gravity used:
Assumptions
- No drag or wind; acceleration is constant.
- Ground impact occurs when the height returns to zero relative to the launch surface.
- Angles outside 0–90° are not supported.
How projectile motion is calculated
Formula
vₓ = v₀ cos θ and vᵧ = v₀ sin θ
Split the initial velocity into horizontal and vertical components, then analyze each direction over the same flight time.
Worked example
At 20 m/s and 30°, the initial components are about 17.32 m/s horizontally and 10 m/s vertically.
Common mistake
Standard classroom formulas usually assume constant gravity and ignore air resistance.