# Related Rates Word Problem

A highway patrol helicopter hovers 3/10 mile above a level, straight interstate highway which has a posted speed limit of 65 miles per hour. The helicopter pilot sees a car on the highway and determines with radar that at that particular instant, the distance between the helicopter and the car is 1/2 mile and is increasing at a rate of 64 miles per hour. Should the driver of the car be ticketed for speeding? Set up and solve a related rates problem to justify answer. Hint: Find the car's speed along the highway.

Â© BrainMass Inc. brainmass.com November 29, 2021, 11:47 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/related-rates-word-problem-2735

#### Solution Preview

See the attached file for the diagram.

The best way to start this problem is by making a sketch. I've attached a word document that shows the situation.

The first thing to see here is ...

#### Solution Summary

The solution shows how to set up and solve a related rates problem to determine if a car should be ticketed for speeding.