A weather rocket of 10.2 kg produces a thrust of 200 N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of spring, whose spring constant is around 440 N/m, is anchored to the ground.
Primarily, prior to the engine is ignited, the rocket sits at rest on top of the spring. Determine how much is the spring compressed?
After the engine is ignited, determine the rocket's speed if the spring has stretched 36.0 cm?
For comparison, determine what would be the speed of rocket after traveling this distance if it weren't joined to the spring?