Physics

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Projectile Motion Calculator.

Find flight time, horizontal range, and maximum height for a projectile.

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01

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Results update as you type.

Results update automatically as you type.

Horizontal range: 10.1937 m

Horizontal range

10.1937m
Maximum height: 2.5484 m

Maximum height

2.5484m
Time of flight: 1.4416 s

Time of flight

1.4416s
Time to apex: 0.7208 s

Time to apex

0.7208s
Horizontal velocity: 7.0711 m/s

Horizontal velocity

7.0711m/s
Vertical velocity: 7.0711 m/s

Vertical velocity

7.0711m/s

How to Use

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.

FAQs

Does this include air resistance?

No. It uses constant gravity and ideal projectile equations, so real drag and lift are not modeled.

Cite this calculator

Canonical URL: https://mathify.one/de/physics/projectile-motion

Cite as: Mathify. (2026). Rechner: Projectile Motion. https://mathify.one/de/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