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A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. 1. What is the minimum value of velocity so that the rocket will not fall back to earth. In this case use the situation that the final velocity is zero as the value of "y" approaches infinity. Express your answer in unit of km/hr. 2. What should be the value of the initial velocity of the rocket if it has to reach a velocity of 1,500 m/s at an altitude of 5 kilometers above the ground? Express your answer in unit of km/hr.

A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. 1. What is the minimum value of velocity so that the rocket will not fall back to earth. In this case use the situation that the final velocity is zero as the value of "y" approaches infinity. Express your answer in unit of km/hr. 2. What should be the value of the initial velocity of the rocket if it has to reach a velocity of 1,500 m/s at an altitude of 5 kilometers above the ground? Express your answer in unit of km/hr.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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a = -9.81[R² / (R + y)²]
Transcribed Image Text:a = -9.81[R² / (R + y)²]
A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. 1. What is the minimum value of velocity so that the rocket will not fall back to earth. In this case use the situation that the final velocity is zero as the value of "y" approaches infinity. Express your answer in unit of km/hr. 2. What should be the value of the initial velocity of the rocket if it has to reach a velocity of 1,500 m/s at an altitude of 5 kilometers above the ground? Express your answer in unit of km/hr.
Transcribed Image Text:A rocket is designed to be launched to space with an acceleration defined by the equation given below where "y" is the altitude of the rocket in the time of flight and "R" is the radius of the earth equal to 6,400 kilometers. 1. What is the minimum value of velocity so that the rocket will not fall back to earth. In this case use the situation that the final velocity is zero as the value of "y" approaches infinity. Express your answer in unit of km/hr. 2. What should be the value of the initial velocity of the rocket if it has to reach a velocity of 1,500 m/s at an altitude of 5 kilometers above the ground? Express your answer in unit of km/hr.
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