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A baggage cart full of luggage is coasting at a speed vA across the airport taxiway....

A baggage cart full of luggage is coasting at a speed vA across the airport taxiway. When fifty percent of the mass of the cart and luggage is thrown off the cart, parallel to the ground and in the forward direction, the cart is brought to a halt. If the direction in which this mass is thrown is exactly reversed, but the speed of this mass relative to the cart remains the same, the cart accelerates to a new speed vB. Calculate the ratio vB/vA.

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