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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Circular Motion In Exercises 47-50, consider a particle moving on a circular path of radius b described by

where

Show that the magnitude or the acceleration vector is

To determine

**To prove:** The magnitude of the acceleration vector is *b* is

Explanation

**Given:**

The provided particle path is

**Formula used:**

The acceleration vector is the derivative of the velocity vector,

**Proof:**

Consider the particle path is,

Differentiate position vector with respect to *t* gives a velocity vector,

Differentiate velocity vector with respect to *t* gives an acceleration vector,

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Applied Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Multivariable Calculus

Calculus: Early Transcendentals

Calculus: An Applied Approach (MindTap Course List)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Essentials Of Statistics

Calculus (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Single Variable Calculus

Understanding Basic Statistics

Finite Mathematics

Statistics for The Behavioral Sciences (MindTap Course List)

Mathematical Excursions (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Intermediate Algebra

Mathematical Applications for the Management, Life, and Social Sciences

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Trigonometry (MindTap Course List)

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Elementary Technical Mathematics

Contemporary Mathematics for Business & Consumers

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Elementary Geometry for College Students

Finite Mathematics for the Managerial, Life, and Social Sciences