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the army shoots at an incoming bomb to detonate it...

Question: the army shoots at an incoming bomb to detonate it...

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The army shoots at an incoming bomb, to detonate it far above the city. The shot is fired with an initial velocity of 821 m/s straight up. As the shot is fired, the bomb is 5010 m high and falling at a constant rate of 200 m/s. How long does it take for the shot to reach the bomb, and what is their height at that time?

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