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A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 98 kg. The mass of the rock is 0.29 kg. Initially the wagon is rolling forward at a speed of 0.50 m/s. Then the person throws the rock with a speed of 16 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown(a)directly forward in one case and(b)directly backward in another.

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