Question

Two cars start moving from the same point. One travels South at 60mi/h ant the other travels West at 25mi/h. At what rate is the distance between the cars increasing 2 hours later?

Answer 1

Okay so first we need position functions with respect to time.

Answer 2

So we have 60t for southbound and 25t for westbound.

Answer 3

The distance between them is just Pythagorean theorem. The rate would just be the derivative of this function. Does that help?

Answer 4

Yes Thank you!