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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 3 / Problem 3.42

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: CALC A faulty model rocket moves in the xy-plane

Chapter 3, Problem 3.42

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QUESTION:

CALC A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rockets acceleration has components and where and At the rocket is at the origin and has velocity with and (a) Calculate the velocity and position vectors as functions of time. (b) What is the maximum height reached by the rocket? (c) Sketch the path of the rocket. (d) What is the horizontal displacement of the rocket when it returns to

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QUESTION:

CALC A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rockets acceleration has components and where and At the rocket is at the origin and has velocity with and (a) Calculate the velocity and position vectors as functions of time. (b) What is the maximum height reached by the rocket? (c) Sketch the path of the rocket. (d) What is the horizontal displacement of the rocket when it returns to

ANSWER:

Step 1 of 7

The instantaneous acceleration is given as,

The horizontal component of the velocity is given as,

Substituting for and integrating with proper limits,

Substituting for and for ,

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