When it is 138 m above the ground, a rocket traveling vertically upward at a constant 7.20 m/s relative to the ground launches a secondary rocket at a speed of 12.3 m/s at an angle of 55.0 degrees above the horizontal, both quantities being measured by an observer sitting in the rocket. Air resistance should be ignored. (a) Just as the secondary rocket is launched, what are the horizontal and vertical components of its velocity relative to the astronaut sitting in the rocket? (b) Just as the secondary rocket is launched, what are the horizontal and vertical components of its velocity relative to Mission Control on the ground?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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When it is 138 m above the ground, a rocket traveling vertically upward at a constant 7.20 m/s relative to the ground launches a secondary rocket at a speed of 12.3 m/s at an angle of 55.0 degrees above the horizontal, both quantities being measured by an observer sitting in the rocket. Air resistance should be ignored.

(a) Just as the secondary rocket is launched, what are the horizontal and vertical components of its velocity relative to the astronaut sitting in the rocket?

(b) Just as the secondary rocket is launched, what are the horizontal and vertical components of its velocity relative to Mission Control on the ground?

(c) Find the initial speed of the secondary rocket as measured by Mission Control. 

(d) Find the launch angle of the secondary rocket as measured by Mission Control.

(e) What maximum height above the ground does the secondary rocket reach?  

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