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themal snow Explain, 33, Mean Value Theorem and the police A state patrol onicer

ID: 2884070 • Letter: T

Question



themal snow Explain, 33, Mean Value Theorem and the police A state patrol onicer saw a car start from rest at a highway on-rame. She radioed ahead to a paiml oficer 30 mi along the highway. When the car reached the localion of the sccond officer 28 min laler, it was clockrd going 60 mi hr. The driver of the car was given a ticket for excecding the 60-miihr speed limit. Why can the otticer conclude that the driver exceeded the speed limit 34. Mean Value Theorem and the police again Compare careful to Exercise 33. A state patrol officcr saw a uar start from test at pro a highway on-rump. She radioed abead to another oficer 30 mi along the highway. Whet the car reached the location of the sec- f(x ond officer 30 min later, it was clocked going 60 mi/hr. Can the patrol officer conclude that the driver exceeded the spccd limit

Explanation / Answer

33)car has taken 28 min to travel 30miles

speed=distance/time

so average speed of car =30/(28/60)

so average speed of car =64.2857 mi/hr

average speed of car is more than the speed limt of 60mi/hr

so officer can conclude that the driver exceeded the speed limit.

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34)car has taken 30 min to travel 30miles

speed=distance/time

so average speed of car =30/(30/60)

so average speed of car =60 mi/hr

initially car is at rest .so initial speed is zero

so to have average speed of 60mi/hr the car has to exceed the speed of 60mi/hr for sometime in journey of 30miles

so officer can conclude that the driver exceeded the speed limit.