Projectile Motion Calculator
How high and far does a projectile travel when it lands at its launch height? Enter the stated inputs to calculate this model.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Launch speed (m/s) | Enter launch speed in m/s; use the same basis as the other measurements. |
| Launch angle (degree) | Enter launch angle in degree; use the same basis as the other measurements. |
| Gravity (m/s²) | Enter gravity in m/s²; use the same basis as the other measurements. |
Understanding your result
Read Flight time (s), Maximum height (m), Range (m) in the units and model stated on this page. The formula time=2*v*sin(angle*pi/180)/g · height=v*v*sin(angle*pi/180)^2/(2*g) · range=v*v*sin(2*angle*pi/180)/g defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Mixing input units or changing the physical meaning of a variable without changing the model.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
How high and far does a projectile travel when it lands at its launch height?
How high and far does a projectile travel when it lands at its launch height? Enter the stated inputs to calculate this model.
Common uses
- How high and far does a projectile travel when it lands at its launch height
How it works
time=2*v*sin(angle*pi/180)/g; height=v*v*sin(angle*pi/180)^2/(2*g); range=v*v*sin(2*angle*pi/180)/g
Worked example
Enter Launch speed: 10 m/s; Launch angle: 45 degree; Gravity: 10 m/s². Results: Flight time: 1.4142135623730951 s; Maximum height: 2.5 m; Range: 10 m.