Physics & Engineering
Projectile Motion Calculator
Calculate range, maximum height and time of flight for a projectile launched at an angle.
Your inputs
Change any value to update the result instantly.
Range
91.7431 m
Maximum height
22.936 m
Time of flight
4.325 s
Launch angle
45 °
Height vs horizontal distance
| Period | Input / invested | Calculated value |
|---|---|---|
| 0 | 0 | 0 |
| 4.59 | 0 | 4.358 |
| 9.17 | 0 | 8.257 |
| 13.76 | 0 | 11.697 |
| 18.35 | 0 | 14.679 |
| 22.94 | 0 | 17.202 |
| 27.52 | 0 | 19.266 |
| 32.11 | 0 | 20.872 |
| 36.7 | 0 | 22.018 |
| 41.28 | 0 | 22.706 |
| 45.87 | 0 | 22.936 |
| 50.46 | 0 | 22.706 |
| 55.05 | 0 | 22.018 |
| 59.63 | 0 | 20.872 |
| 64.22 | 0 | 19.266 |
| 68.81 | 0 | 17.202 |
| 73.39 | 0 | 14.679 |
| 77.98 | 0 | 11.697 |
| 82.57 | 0 | 8.257 |
| 87.16 | 0 | 4.358 |
| 91.74 | 0 | 0 |
Formula and working
R = v²sin(2θ)/g; H = v²sin²(θ)/2g; T = 2v sin(θ)/g
- 1
Collect the inputs
Launch speed = 30 m/s; Launch angle = 45 °; Gravity = 9.81 m/s²
- 2
Apply the formula
R = v²sin(2θ)/g; H = v²sin²(θ)/2g; T = 2v sin(θ)/g
- 3
Result
Range = 91.7431 m
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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