物理
即时、私密且免费
Projectile Motion Calculator.
Find flight time, horizontal range, and maximum height for a projectile.
此计算器尚未完全翻译——部分文本以英文显示。
输入数值
输入时结果会更新。
Results update automatically as you type.
使用方法
Uses constant gravity with no air resistance or lift. Launch speed is measured at the launch point.
Angles from 0° (horizontal) through 90° (vertical) are supported. A non-zero launch height is measured above the landing level.
相关计算器
Cite this calculator
Canonical URL: https://mathify.one/zh/physics/projectile-motion
Cite as: Mathify. (2026). 计算器: Projectile Motion. https://mathify.one/zh/physics/projectile-motion
Use Cases
Physics homework and exam prep
Quickly verify your manual calculations for projectile motion problems, ensuring you understand the relationships between launch parameters and outcomes.
Example: Check the range of a ball launched at 20 m/s at 45°.
Sports and engineering design
Estimate the trajectory of a thrown or launched object for planning purposes, such as determining how far a javelin might travel or the height of a water fountain.
Example: Estimate the flight time of a soccer ball kicked at 25 m/s at 30°.
Frequently Asked Questions
- What does the projectile motion calculator compute?
- It computes the range (horizontal distance), flight time, maximum height (apex), and the horizontal and vertical components of velocity for a projectile launched with a given initial speed and angle, assuming no air resistance.
- Does the calculator account for air resistance?
- No, it uses a simplified no-air-resistance model. This means results are theoretical and best for ideal conditions, such as in a vacuum or when air drag is negligible.
- What inputs do I need to provide?
- You need to enter the initial velocity (speed) and the launch angle above the horizontal. The calculator then uses these to determine the projectile's motion.
Tips & Common Mistakes
Tips
- Use consistent units for initial velocity (e.g., m/s) and ensure the angle is in degrees or radians as per the calculator's setting.
- Remember that the maximum range occurs at a 45° launch angle when air resistance is ignored.
- For a given speed, a higher launch angle increases flight time and apex height but reduces range beyond 45°.
- Check your inputs: a negative angle or zero speed will produce invalid results.
Common Mistakes to Avoid
- Forgetting to convert the launch angle to radians if the calculator expects radians, leading to incorrect results.
- Assuming the model includes air resistance, which it does not, and misinterpreting real-world deviations.
- Using the calculator for high-stakes decisions like ballistic targeting without considering real-world factors.
Last updated: August 13, 2026