Two cyclists in opposite directions

Two cyclists leave one point in opposite directions. Find the distance between them after the given time.

2D Age 10+10 min Motion problems
Two cyclists in opposite directions
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Press “Run”. Bodies move by the laws of physics: gravity, friction, elasticity.

What the experiment shows

Both start from one point and ride in opposite directions. The red lines mark where each will be after the chosen time.

How to run it

  1. Run the scene: the two move apart, and the S caption shows the distance between them.
  2. Enter your answer in the Task panel and press “Check”.
  3. Change the speeds or the time with the sliders and solve again.

Questions to discuss

  • Why are the speeds added when moving in opposite directions too?
  • How does the distance change if the time doubles?

The science

Every hour the gap grows by the sum of the speeds: the speed of separation. The distance is S = (v₁ + v₂) · t and the time is t = S / (v₁ + v₂).

Try it at home

Stand back to back with a friend and walk 10 steps each in opposite directions: how many steps apart are you?

What to change in the editor

  • In the editor flip one participant to get a same-direction or catch-up problem.
  • Add a caption with each participant's distance from the start.