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In a demolition derby, two cars start from rest at opposite ends of a track. At...

In a demolition derby, two cars start from rest at opposite ends of a track. At exactly the same instant they begin to accelerate towards each other in a straight line. Car A accelerates at a rate of aA = 3.0 m/s2 , while Car B accelerates at a rate of aB = 4.0 m/s2 in the opposite direction. After 6.5 s the cars collide. Please use a coordinate system where Car A is travelling in the positive direction. a)(8 pts.) How far apart did the cars start initially? b)(8 pts) At what velocity is Car B travelling at when in has moved a distance of 30 meters from where it started. Note, this occurs well before the collision.

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