Straight-line pursuit

Overview

Faster runner catches a slower one: positions vs catch-up time.

Explanation

Same-direction chase: speeds v₁ > v₂, initial gap d (faster behind).
Catch-up time t = d / (v₁ − v₂).
Distance relation: faster distance = slower distance + d.

How to use

Set speeds and gap, scrub time; watch the gap close at t = d/(v₁ − v₂).

Knowledge points

• Functions
• Applications