If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Related rates (Pythagorean theorem)

AP.CALC: CHA‑3 (EU), CHA‑3.E (LO), CHA‑3.E.1 (EK)
You might need: Calculator

Problem

Two cars are driving away from an intersection in perpendicular directions.
The first car's velocity is 5 meters per second and the second car's velocity is 8 meters per second.
At a certain instant, the first car is 15 meters from the intersection and the second car is 20 meters from the intersection.
What is the rate of change of the distance between the cars at that instant (in meters per second)?
Choose 1 answer:
Choose 1 answer:
Stuck?
Stuck?