Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 128 km/h as it passes P, but over the next 4.2 seconds, the car uniformly accelerates to 144 km/h, after which that speed is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6.0 m/s² until a speed of 165 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A.

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Chapter1: Units, Trigonometry. And Vectors
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Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P
observes this speed via radar. The driver of car A sees and reacts very unwisely to the police car P.
Car A is traveling at VA = 128 km/h as it passes P, but over the next 4.2 seconds, the car uniformly
accelerates to 144 km/h, after which that speed is maintained. At the moment when A passes P, the
police car begins to accelerate at the constant rate of 6.0 m/s² until a speed of 165 km/h is achieved,
and that speed is then maintained. Determine the distance s required for the police officer to
overtake car A.
VA
P
Transcribed Image Text:Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver of car A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 128 km/h as it passes P, but over the next 4.2 seconds, the car uniformly accelerates to 144 km/h, after which that speed is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6.0 m/s² until a speed of 165 km/h is achieved, and that speed is then maintained. Determine the distance s required for the police officer to overtake car A. VA P
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