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Two cars A and B, each 5m in length, travel with constant velocity 20 m/s along a straight level road. The front of car A is 15m directly behind the rear of car B. Immediately on reaching a point P, each car decelerates at 4m/s^2.

1) Show that A collides with B

2) At what distance from P does the collision occur?

3) Show the motion of both cars on the same speed-time graph.

Thanks in advance