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Two passenger cars are traveling at 65 MPH on a highway moving in the same direction in the same lane. The cars are separated by

Two passenger cars are traveling at 65 MPH on a highway moving in the same direction in the same lane. The cars are separated by 25 feet for every 10 MPH of their speed. The coefficient of friction (skidding resistance) between the tires and the roadway is 0.6. The perception reaction time is assumed to be 1 second. Determine the followings:
a) If the lead car hits a parked tracker-trailer, what is the speed of the second car when it hits the first (stationary) car?
b) At what speed the rule of 25 feet separation between two cars is safe?
c) What should actually the separation distance between these two cars bet at 65 mph?

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