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In elastic collisions,total kinetic energy and momentum are both conserved.

On a frictionless track, cart 1 is moving with a constant, rightward (+) velocity of 1.0m/s. Cart 2 is also moving rightward with constant velocity of 5.0m/s. After a while,cart 2 collides cart 1 from behind. (It is an elactic collision.) If the final velocity of cart 2 becomes 3.0m/s, what is the final velocity of cart 1?

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