Car A is traveling at a constant speed v-130 km/h at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6 m/s' until a speed of 160 km/h is achleved, and that speed is then maintained. Determine the distance required for the police officer to overtake car A. Neglect any nonrectilinear motion of P. P Ans. 713 m Repeat the previous problem, only now the driver of car A Is traveling at va-130 km/h as it passes P, but over the next 5 secands, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. If the motion of the police car P remains as described in the previous problem, determine the distance required for the police officer to overtake car A. Ans. 330 m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Car A is traveling at a constant speed v,=130 km/h at a location where the speed limit is 100 km/h. The police
officer in car P observes this speed via radar. At the moment when A passes P, the police car begins to
accelerate at the constant rate of 6 m/s' until a speed of 160 km/h is achleved, and that speed is then
maintained. Determine the distance required for the police officer to overtake car A. Neglect any
nonrectilinear motion of P.
A
P
Ans. 713 m
Repeat the previous problem, only now the driver of car A is traveling at va-130 km/h as it passes P, but
over the next 5 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the
speed limit is maintained. If the motion of the police car P remains as described In the previous problem,
determine the distance required for the police officer to overtake car A.
Ans. 330 m
Transcribed Image Text:Car A is traveling at a constant speed v,=130 km/h at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. At the moment when A passes P, the police car begins to accelerate at the constant rate of 6 m/s' until a speed of 160 km/h is achleved, and that speed is then maintained. Determine the distance required for the police officer to overtake car A. Neglect any nonrectilinear motion of P. A P Ans. 713 m Repeat the previous problem, only now the driver of car A is traveling at va-130 km/h as it passes P, but over the next 5 seconds, the car uniformly decelerates to the speed limit of 100 km/h, and after that the speed limit is maintained. If the motion of the police car P remains as described In the previous problem, determine the distance required for the police officer to overtake car A. Ans. 330 m
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