Projectile Motion

Calculate projectile range, time of flight, and maximum height from launch speed and angle with step-by-step physics formulas.

Key formula

Range, time, and height formulas for 2D motion

About this tool

Projectile motion splits a launch into constant horizontal velocity and vertical motion under gravity. This page keeps the intro-physics formulas for time of flight, range, and maximum height visible so you can check homework launched from level ground with no air resistance.

How to use this calculator

  1. Choose the variable you want to solve for and confirm which values are already known.
  2. Enter inputs in consistent units before calculating so the formula is applied correctly.
  3. Check whether the result is physically reasonable by comparing it with the size of the inputs.
  4. Use the step-by-step breakdown to see how the equation was rearranged and evaluated.

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