Falling Body with Air Resistance Calculator: Step-by-Step Solutions

Velocity, distance and terminal velocity for linear drag. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

Downward motion with air resistance proportional to velocity: $mdv/dt=mg-kv$ ($v$ and distance $x$ measured downward). Put $k=0$ for free fall.

How to use it

1. Enter your own numbers or functions in the boxes (an example is already filled in, or press Random example).
2. Check the equation preview, then press Solve step by step.
3. Reveal the solution one step at a time with Next step, or show everything at once.

Need the theory first? Read Section 3.2: Problems in Mechanics, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 3 quiz.

All computations run in your browser; nothing is sent to a server.