Math and Science
Projectile Motion Calculator
Projectile Motion Calculator calculate flight time, horizontal range, maximum height, and velocity components for ideal projectile motion.
Math and Science
Projectile Motion Calculator
Calculate flight time, horizontal range, maximum height, and velocity components for ideal projectile motion.
Formula
y(t)=h0+v0 sin(theta)t-g t^2/2; range=v0 cos(theta) x positive flight time.
About the Projectile Motion Calculator
Calculate flight time, horizontal range, maximum height, and velocity components for ideal projectile motion. This tool keeps the requested measurements separate and applies the named method instead of substituting an unrelated general estimate.
How the Projectile Motion Calculator Works
The positive root of the vertical-position equation gives landing time; horizontal velocity remains constant in the ideal model.
Formula
y(t)=h0+v0 sin(theta)t-g t^2/2; range=v0 cos(theta) x positive flight time.
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- Initial speed (required) - enter in m/s.
- Launch angle (required) - enter in deg.
- Initial height (required) - enter in m.
- Gravity (required) - enter in m/s2.
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Flight time (s)
- Horizontal range (m)
- Maximum height (m)
- Horizontal velocity (m/s)
- Initial vertical velocity (m/s)
Projectile Motion Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| Initial speed | 30 m/s |
| Launch angle | 40 deg |
| Initial height | 1.5 m |
| Gravity | 9.80665 m/s2 |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
This model ignores air resistance, wind, spin, Earth curvature, and terrain changes, so it is not a ballistics or safety tool.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Projectile Motion Calculator calculate?
Calculate flight time, horizontal range, maximum height, and velocity components for ideal projectile motion.
Which formula does the Projectile Motion Calculator use?
y(t)=h0+v0 sin(theta)t-g t^2/2; range=v0 cos(theta) x positive flight time. The positive root of the vertical-position equation gives landing time; horizontal velocity remains constant in the ideal model.
How should I use the Projectile Motion Calculator result?
This model ignores air resistance, wind, spin, Earth curvature, and terrain changes, so it is not a ballistics or safety tool.