Mean Value Theorem and the police ?A slave patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another officer 30 mi along the highway. When the car reached the location of the second officer 30 min later, it was clocked going 60 mi/hr. Can the patrol officer conclude that the driver exceeded the speed limit?

Solution 30E Step 1 We are given that, a first patrol officer saw a car start from rest at a highway. She radioed ahead to another patrol officer 30 mi along the highway. When the car reached the location of the second officer 30min later, it was clocked going 60 mi/hr. We have to find can the officer conclude that the driver exceeded the speed limit. Step 2 Consider the place of first patrol officer to be f(a) = 0 mi Let the place of second patrol officer to be f(b) = 30 mi Consider the time to be a = 0 min = 0 hrat f(a) = 0 mi 60 30 And the time to be b = 30 min = 60 hrat f(b) = 30 mi The pictorial representation of the problem is shown below