A 11.2 kg weather rocket generates a thrust of 220 N . The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 580 N/m , is anchored to the ground. Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed? Express your answer with the appropriate units.   After the engine is ignited, what is the rocket's speed when the spring has stretched 30.0 cm ? Express your answer with the appropriate units.   For comparison, what would be the rocket's speed after traveling this distance if it weren't attached to the spring?

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A 11.2 kg weather rocket generates a thrust of 220 N . The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 580 N/m , is anchored to the ground.

Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed?
Express your answer with the appropriate units.
 
After the engine is ignited, what is the rocket's speed when the spring has stretched 30.0 cm ?
Express your answer with the appropriate units.
 
For comparison, what would be the rocket's speed after traveling this distance if it weren't attached to the spring?
Express your answer with the appropriate units.
 
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