Two radar patrol cars are located at fixed positions 13 mi apart on a long, stra

Question

Two radar patrol cars are located at fixed positions 13 mi apart on a long, straight road where the speed limit is 55 mi/h. A sports car passes the first patrol car traveling at 53 mi/h, and then 10 min later, it passes the second patrol car going 50 mi/h. Analyze a model of this situation to show that at some time between the two clockings, the sports car exceeded the speed limit. Hint: Use the MVT s(10)s(O) Let s(t) be the distance traveled during time t. Then = s'(c) = v(c) for some c between 0 and 10. Since v(c) mi/min min/h mi/h, the sports car exceeded the speed limit.

Explanation / Answer

f(b)-f(a)=13-0=13 (distance difference)

b-a=10 min (time difference)

f'(c)=55 max speed

f(b)-f(a)/b-a>f'(c)
13-0/(10/60)>55
78>55

1.3mi/min *(1/60)min/hr

78 mi/h
exceed 55

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