SOLUTION: A stationary police car spots a vehicle travelling at speed. The police car accelerates flat out to apprehend suspect. How fast in km/h would the police car have to travel to catc

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Question 546790: A stationary police car spots a vehicle travelling at speed. The police car accelerates flat out to apprehend suspect.
How fast in km/h would the police car have to travel to catch up to and match speeding cars speed within 3.3 kilometers if the speeding car is travelling at 144km/h?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A stationary police car spots a vehicle traveling at speed.
The police car accelerates flat out to apprehend suspect.
How fast in km/h would the police car have to travel to catch up to and match speeding cars speed within 3.3 kilometers if the speeding car is traveling at 144km/h?
:
Let s = speed required by the cop to catch the unfortunate driver
:
The average speed of an car accelerating from 0 = half the final speed
:
Find the time it takes the speeding car to cover 3.3 km
3.3%2F144 = .0229 hrs
:
therefore a distance equation, d = speed * time
.5s(.0229) = 3.3
.01146s = 3.3
s = 3.3%2F.01146
s = 288 km/hr