Projectile Range Calculator
Estimate the range, peak height and flight time of a projectile launched from level ground, ignoring air resistance. Enter launch speed and launch…
8 of 8 free uses remaining today
Estimate the range, peak height and flight time of a projectile launched from level ground, ignoring air resistance. Enter launch speed and launch angle to see range, maximum height and flight time when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (launch speed = 20 m/s, launch angle = 45 degrees), the results are: range 40.79 m; maximum height 10.20 m; flight time 2.88 s.
Quick reference: launch speed vs result
Reference table based on the example values; it is not your calculation result.
| Launch speed (m/s) | Range | Maximum height | Flight time |
|---|---|---|---|
| 10 | 10.20 m | 2.55 m | 1.44 s |
| 20 | 40.79 m | 10.20 m | 2.88 s |
| 40 | 163.15 m | 40.79 m | 5.77 s |
| 100 | 1,019.72 m | 254.93 m | 14.42 s |
| 200 | 4,078.86 m | 1,019.72 m | 28.84 s |
| 400 | 16,315.46 m | 4,078.86 m | 57.68 s |
Frequently asked questions
What formula does this calculator use?
Range = v^2 × sin(2 × ang × pi ÷ 180) ÷ g; Maximum height = (v × sin(ang × pi ÷ 180))^2 ÷ (2 × g); Flight time = 2 × v × sin(ang × pi ÷ 180) ÷ g. Variables: v = launch speed in m/s, ang = launch angle in degrees. Fixed values: g = 9.80665.
What do I need to enter?
You need launch speed (m/s), launch angle (degrees). Results update as you type.
What is an example result?
With the default inputs (launch speed = 20 m/s, launch angle = 45 degrees), the results are: range 40.79 m; maximum height 10.20 m; flight time 2.88 s.
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