The boat's own speed

The speed downstream and the current are known. Find the boat's own speed and its speed upstream.

2D Age 10+10 min Motion problems
The boat's own speed
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Press “Run”. Bodies move by the laws of physics: gravity, friction, elasticity.

What the experiment shows

Two boats run side by side: one downstream, one upstream. Each shows its speed, and the task checks the own speed.

How to run it

  1. Run the scene: the boats go with and against the current, and each shows its speed.
  2. Enter your answer in the Task panel and press “Check”.
  3. Set the current to 0 and compare the speeds: what changed?

Questions to discuss

  • Why is the current added downstream and subtracted upstream?
  • What happens if the current is faster than the boat's own speed?

The science

Downstream the boat's speed is its own speed plus the current, upstream their difference: v down = v₀ + vc, v up = v₀ − vc. The downstream speed exceeds the upstream speed by 2vc.

Try it at home

Float a paper boat in a stream or in a tub with a hose current and time it over one metre.

What to change in the editor

  • In the editor set the current so that the boat upstream stands still.
  • Add a second boat with a different speed and make a race.