Examples
Examples
Try the starting example
- Launch speed (m/s)
- 10
- Angle (degrees)
- 45
- Launch height (m)
- 0
- Gravity (m/s²)
- 9.80665
- Flight time (s)
- 1.442096
- Range (m)
- 10.197162
Try another scenario
- Launch speed (m/s)
- 11
- Angle (degrees)
- 45
- Launch height (m)
- 0
- Gravity (m/s²)
- 9.80665
- Flight time (s)
- 1.586306
- Range (m)
- 12.338566
Calculation method
Calculation method
Flight time (s)
(a × sin(b × π ÷ 180)+sqrt((a × sin(b × π ÷ 180))^2+2 × d × c)) ÷ d
Range (m)
a × cos(b × π ÷ 180) × (a × sin(b × π ÷ 180)+sqrt((a × sin(b × π ÷ 180))^2+2 × d × c)) ÷ d
Symbols and units
- a
- Launch speed (m/s)
- b
- Angle (degrees)
- c
- Launch height (m)
- d
- Gravity (m/s²)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
sqrt(x) is the non-negative square root of x.
sin uses an angle in radians. Convert degrees by multiplying by π/180.
π is the circle constant, approximately 3.141592653589793.
cos uses an angle in radians. Convert degrees by multiplying by π/180.
Assumptions & limits
Assumptions & limits
- Ideal two-dimensional flight to a horizontal ground plane, with no drag and constant gravity.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.