Two bumper cars collide head on before the collision car 1, Physics

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Two bumper cars collide head on before the collision car 1

Two bumper cars collide head on. Before the collision, car 1 is coming from the right at 3m/s and has a total mass of 200kg. Car 2 is coming from the left at 5m/s and has a total mass 250kg (the driver of car 2 is a lot fatter than the driver of car 1). At the time of the collision, the bumpers lock and the cars remain stuck together after the (inelastic) collision. Calculate the velocity (direction and speed) of the linked cars following the collision.

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