A radar gun can be used to measure the distance between itself and the object it is pointed at, as well as the rate at which that distance is changing. Suppose a police officer is parked 0.3 miles off a straight stretch of highway with a speed limit of 55 miles per hour, watching for speeding cars. She sees a car go past and pints her radar gun at it. The device shows that the car is 0.5 mi away from the officer and that the distance between the officer and the car is increasing at a rate of 52 mi/hr.

1. How fast is the car actually traveling? Is it speeding?
2. What could the officer do to get a more accurate measurement of a cars speed?

Answer rating: 100% (QA)

Let z 05 mi y 03 mi dydt 0 mihr 1 dzdt 52 mihr 2 x z2 y2 ... View the full answer