Projectile Motion Calculator
Range, max height, and flight time of a projectile from launch speed and angle — no air resistance.
Horizontal range (m)
40.77
Breakdown
- Maximum height (m)
- 10.19
- Total flight time (s)
- 2.88
- Time to apex (s)
- 1.44
- Horizontal velocity (m/s)
- 14.14
- Initial vertical velocity (m/s)
- 14.14
Last updated:
FAQ
What launch angle gives maximum range?
Exactly 45° when launch and landing are at the same height in vacuum. Raising or lowering the launch pad shifts the optimum — downhill shots favor flatter angles, uphill favors steeper ones.
Does air resistance matter?
Yes, at real speeds. Drag shrinks range by 30–50% for sports balls and far more for bullets. Use the vacuum numbers here as the theoretical upper bound, then correct empirically for your case.
Why does 30° and 60° give the same range?
Complementary angles share the same sin(2θ) in the range formula, so 30° and 60° are twins — the low shot flies flat and fast, the high one floats longer with the same landing spot.
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