doomath Calculator
Projectile Motion Calculator
Model ideal projectile range, flight time and maximum height.
InputsChange a value to recalculate instantly
ResultUpdates as you type
PHYSICAL SIMULATOR
Ballistic Trajectory & Artillery Cannon Simulator
LIVE ENGINE 60FPS
TIME t = 0.00sTotal: 2.88s
FORMULA & STEPSProjectile Motion Calculator — Mathematical Derivation & Steps
3 StepsSequential Calculation Breakdown
1
Initial Conditions
Launch velocity vector and gravity constant.
2
Velocity Vector Components
Horizontal constant speed and vertical decelerating speed.
3
Flight Duration, Peak Apex & Range
Total elapsed parabolic flight time and final landing distance.
λ DooMathWork with this calculation
Local · deterministic · optionalQuick mathNatural-language-style shortcuts for deterministic arithmetic.
Calculator guide
How to use the Projectile Motion Calculator
Model ideal projectile range, flight time and maximum height.
01Set inputsChoose values, units and assumptions.
02Apply the modelUse the stated mathematical relationship.
03Read the resultCheck the output against the assumptions before using it.
What this calculator does
Model ideal projectile range, flight time and maximum height.
Formula & method
The result is calculated from the inputs and assumptions shown in the calculator.
Assumptions & notes
Review the inputs, units and assumptions before using the result for a real decision.