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Free projectile motion calculator for launch analysis in physics and engineering. Enter speed, angle, gravity, and initial height to compute trajectory time, range, and peak height instantly.
Last updated: April 20, 2026
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Time of flight
3.604 s
Horizontal range
63.710 m
Maximum height
15.928 m
Initial velocity components
vx = 17.678, vy = 17.678
Interpretation
Projectile stays in flight for 3.604 s and travels 63.710 m horizontally.
Model assumption:
This model assumes no air resistance and constant gravitational acceleration.
Output
Time of flight (s)
Formula
Range = vx × t
Formula
hmax = h0 + vy²/(2g)
v0 = 25 m/s, angle = 45°, g = 9.81 m/s², h0 = 0 m
Flight time
3.60 s
Range
63.71 m
The model decomposes launch velocity into horizontal and vertical components. Horizontal motion remains constant, while vertical motion changes under gravity. Combining these gives trajectory time, range, and peak height.
vx = v0 cos(θ), vy = v0 sin(θ)t = (vy + √(vy² + 2gh0)) / gRange = vx × tThese equations assume no drag and uniform gravitational acceleration.
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