Physics calculator
Projectile Motion Calculator
Estimate ideal projectile range, maximum height, and flight time from launch speed and angle.
Formula
Ideal projectile motion
This ideal model excludes air resistance, launch height, spin, slope, and drag.
Range = v^2 sin(2theta) / g; max height = v^2 sin^2(theta) / 2g
30 m/s at 45 degrees gives the longest ideal range for level ground.
FAQs
Why is 45 degrees often best?+
For equal launch and landing height without air resistance, 45 degrees maximizes range.
Does this include air resistance?+
No. It is a simple classroom-style projectile estimate.
How does the Projectile Motion Calculator calculate the result?+
It uses the Ideal projectile motion: Range = v^2 sin(2theta) / g; max height = v^2 sin^2(theta) / 2g. 30 m/s at 45 degrees gives the longest ideal range for level ground.
What information do I need to use the Projectile Motion Calculator?+
Estimate ideal projectile range, maximum height, and flight time from launch speed and angle.
How accurate is the Projectile Motion Calculator?+
Projectile Motion Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Projectile Motion Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Physics guide
How to use the Projectile Motion Calculator
Estimate ideal projectile range, maximum height, and flight time from launch speed and angle. The page also explains the ideal projectile motion and shows a practical example: 30 m/s at 45 degrees gives the longest ideal range for level ground.
- 1
Enter your details
Enter launch speed and angle, then complete any other fields shown in the calculator.
- 2
Check the calculation
Review the result alongside the ideal projectile motion: Range = v^2 sin(2theta) / g; max height = v^2 sin^2(theta) / 2g.
- 3
Compare scenarios
Change one or more inputs to see how they affect the projectile Motion Calculator result before you use the estimate.
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