A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who decided to give chase. It takes the trooper 4.6 seconds to turn on the 'blue lights' and get the 'at rest' PW5000 powered Dodge interceptor moving. Then 8.3 seconds more to accelerate to its top speed and 63 seconds more to catch up with the speeder 3.5 km down the highway from the trooper's parking spot. Determine the average speed of the Ferrari over this distance in km/hr

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Asked Oct 13, 2019
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A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who decided to give chase. It takes the trooper 4.6 seconds to turn on the 'blue lights' and get the 'at rest' PW5000 powered Dodge interceptor moving. Then 8.3 seconds more to accelerate to its top speed and 63 seconds more to catch up with the speeder 3.5 km down the highway from the trooper's parking spot. Determine the average speed of the Ferrari over this distance in km/hr

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Expert Answer

Step 1

The average speed of the Ferrari is

distance
Avg speed
time
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distance Avg speed time

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Step 2

The time required to catch the Ferrari is

t(s) 4.6s 8.3s+63s
75.9s
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t(s) 4.6s 8.3s+63s 75.9s

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Step 3

The distance travelled by the Ferra...

10'm
d 3.5 km x
km
= 3500 m
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10'm d 3.5 km x km = 3500 m

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