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?

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?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Yes Thank you!