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Calculus / University Calculus: Early Transcendentals 3 / Chapter 12 / Problem 12

University Calculus: Early Transcendentals | 3rd Edition | ISBN: 9780321999580 | Authors: Joel R. Hass

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What formulas are available for writing a moving objects

Chapter 12, Problem 12

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QUESTION:

What formulas are available for writing a moving object's accel-eration as a sum of its tangential and normal components? Give an example. Why might one want to write the acceleration this way? What if the object moves at a constant speed? At a constant speed around a circle?

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QUESTION:

What formulas are available for writing a moving object's accel-eration as a sum of its tangential and normal components? Give an example. Why might one want to write the acceleration this way? What if the object moves at a constant speed? At a constant speed around a circle?

ANSWER:

Problem 12

What formulas are available for writing a moving object's accel-eration as a sum of its tangential and normal components? Give an example. Why might one want to write the acceleration this way? What if the object moves at a constant speed? At a constant speed around a circle?

Step by Step Solution

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The vector of the acceleration is given as a change of the velocity vector and it can be split onto tangential and normal components

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