In Example 2.6, we considered a simple model for a rocket launched from the surface of...

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Physics

In Example 2.6, we considered a simple model for a rocketlaunched from the surface of the Earth. A better expression for arocket's position measured from the center of the Earth is given byy(t) = RE3/2 + 3 g 2 REt 2/3 where RE is the radius of the Earth(6.38 âœ• 106 m) and g is the constant acceleration of an object infree fall near the Earth's surface (9.81 m/s2). (a) Deriveexpressions for vy(t) and ay(t). (Use the following as necessary:g, RE, and t. Do not substitute numerical values; use variablesonly.) vy(t) = âˆš g 2 â€‹2R E â€‹(R ( 3 2 â€‹) E â€‹+3âˆš g 2 â€‹R E â€‹t)(âˆ’ 1 3â€‹) m/s ay(t) = m/s2 (b) Plot y(t), vy(t), and ay(t). (A spreadsheetprogram would be helpful. Submit a file with a maximum size of 1MB.) This answer has not been graded yet. (c) When will the rocketbe at y = 4RE? Your response differs significantly from the correctanswer. Rework your solution from the beginning and check each stepcarefully. s (d) What are vy and ay when y = 4RE? (Express youranswers in vector form.) vy(t) = m/s ay(t) = m/s2

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3.7 Ratings (264 Votes)

A better expression for a rockets position which measured fromthe center of Earth is given by y t RE32 3 g 2 RE t23where RE radius of the Earth 638 x106 mg constant acceleration of an object in free fall near See Answer

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