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6. Car A is parked at x = = 0 position along the northbound lane of a highway (facing in the positive x direction),

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6. Car A is parked at x = = 0 position along the northbound lane of a highway (facing in the positive x direction), and car B is travelling in the southbound lane at a constant speed of 72 km/h (in the negative x direction). At t = 0, A starts and accelerates at a constant rate a, while at t = 6 s, B begins to slow down with a constant deceleration of magnitude a/6. The cars pass each other when x = 90 m with identical speeds |A| = |UB (a) Sketch a kinematic diagram. (b) Calculate the acceleration a, and determine the time when the vehicles pass each other (c) Calculate the distance d between the vehicles at t = 0.

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