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🎯 Projectile Motion Calculator

Enter launch speed, angle, and starting height to compute flight time, maximum height, and horizontal range for a projectile trajectory.

Projectile Motion Calculator

Enter an initial speed, launch angle, and starting height to compute flight time, maximum height, and horizontal range for basic projectile motion (ignoring air resistance).

Inputs

Initial speed (m/s)

Launch angle (degrees)

Initial height (m)

Uses g = 9.81 m/s² and assumes flat ground and no air resistance. Units are meters and seconds.

projectile motion calculatortrajectory calculator

Results

Horizontal velocity (m/s)

14.1421

Vertical velocity (m/s)

14.1421

Time to peak (s)

1.4416

Maximum height (m)

10.1937

Total flight time (s)

2.8832

Horizontal range (m)

40.7747

How to use this tool

Choose a launch speed and angle for your projectile.
Set the initial height above the landing level if needed.
Use the flight time and range to design experiments, simulations, or game mechanics.

Projectile motion calculator for physics problems

Quickly solve textbook-style trajectory questions without manual algebra.
Understand how changing the angle at fixed speed affects range and peak height.
Use the output as a reference for more complex models that include drag.

Assumptions behind the trajectory calculator

Neglects air resistance and assumes constant gravitational acceleration.
Assumes the projectile lands on flat ground at y = 0.
Treats the motion in two dimensions with no wind or spin.

FAQ

What launch angle gives the maximum range?: With no air resistance and launch and landing at the same height, a 45° launch angle maximizes range. With different initial heights, the optimal angle shifts slightly.
Can I change the acceleration due to gravity?: This version fixes g at 9.81 m/s². For other planets or custom simulations, you can scale the results manually.
What units does this use?: Calculations assume meters, seconds, and m/s. You can convert to other units using the unit converter on ToolHop if needed.

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