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The driver of a car travelling at a speed of 20m/sec, wishes to overtake a truck that is moving with a constant speed of 20 m/sec in the same lane. The cars maximum acceleration is 0.5 m/s^2 . Initially the vehicles are seperated by 40m, and the car returns back into its lane after it is 40 m ahead of truck. The car is 3 m long and the truck 17m.
(a) Find the minimun time required for the car to pass the truck and return back to its lane?
(b) What distance does the car travel during the time?
(c) What is the final speed of the car?
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