SOLUTION: A trooper is sitting at rest . A Lamborghini is cruising at 1.7 miles/minute. As the Lambo passes the trooper, the trooper begins to accelerate at 2 miles/min/min, and the lambo be

Question 934526: A trooper is sitting at rest . A Lamborghini is cruising at 1.7 miles/minute. As the Lambo passes the trooper, the trooper begins to accelerate at 2 miles/min/min, and the lambo begins to accelerate at 1 mile/min/min. After 1.5 minutes, both cars reach their top speeds and can no longer accelerate.
Will the trooper catch up to the Lambo? If yes, then how long does it take and how far do the two cars travel?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A trooper is sitting at rest . A Lamborghini is cruising at 1.7 miles/minute. As the Lambo passes the trooper, the trooper begins to accelerate at 2 miles/min/min, and the lambo begins to accelerate at 1 mile/min/min. After 1.5 minutes, both cars reach their top speeds and can no longer accelerate.
Will the trooper catch up to the Lambo? If yes, then how long does it take and how far do the two cars travel?
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Not the typical units.
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The top speed of the Lambo is 1.7 + 1*1.5 = 3.2 mi/min
The top speed of the cop car is 0 + 2*1.5 = 3 mi/min
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He won't catch him, but he'll radio ahead.
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