Projectile Motion Calculator
Solve projectile range, time, maximum height, velocity components and impact, or find low/high launch angles to hit a target under Earth, Moon, Mars or custom gravity.
Project inputs
Change any value to update the result. Units, boundaries and conditional fields are validated by this calculator’s own engine.
Projectile Motion Calculator results
How to use the projectile motion calculator
This projectile motion calculator uses a dedicated engine, live visual and explanations specific to this problem. Review the assumptions before using the output for purchasing, design, grading, pricing or operational decisions.
Two projectile-motion solve modes
This projectile motion calculator can solve a trajectory from speed, angle and launch height or solve the low and high angles that can reach a target coordinate at a fixed speed. It reports velocity components, flight time, range, maximum height, impact speed and impact angle.
Target reachability
Target mode evaluates the quadratic discriminant of the vacuum trajectory equation. When no real angle exists, the calculator reports that the target is unreachable at the entered speed and provides the ideal minimum speed under the same simplified assumptions.
Gravity and unit conversion
Select standard gravity for Earth, the Moon or Mars, or enter a custom acceleration. Speed and distance units are converted internally before solving. Standard Earth gravity is shown precisely rather than rounded to 9.8.
Model limitations and safety
The trajectory neglects aerodynamic drag, wind, lift, spin, changing gravity and Earth curvature. Those effects can dominate real balls, projectiles and long-range motion. Do not use the result for weapons, hazardous launches or safety-critical operations.
Projectile Motion Calculator questions
What angle gives maximum range?
For equal launch and landing height without drag, 45 degrees maximizes range. A different launch height changes the optimal angle.
Why can two angles hit the same target?
In the ideal model, a lower, faster arc and a higher, longer-duration arc can intersect the same coordinate.
Does the calculator include air resistance?
No. It solves the standard constant-gravity vacuum equations and states that limitation in the result.