A model train engine was moving at a constant speed on a straight horizontal track. As...

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A model train engine was moving at a constant speed on a straight horizontal track. As the engine moved along, a marble was fired into the air by a spring in the engine's smokestack. The marble, which continued to move with the same forward speed as the engine, rejoined the engine 1 sec after it was fired. The measure of the angle the marble's path made with the horizontal was 50°. Use the information to find how high the marble went and how fast the engine was moving. A model train engine was moving at a constant speed on a straight horizontal track. As the engine moved along, a marble was fired into the air by a spring in the engine's smokestack. The marble, which continued to move with the same forward speed as the engine, rejoined the engine 1 sec after it was fired. The measure of the angle the marble's path made with the horizontal was 50°. Use the information to find how high the marble went and how fast the engine was moving.

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