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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Finding Velocity and Acceleration Vectors in Space **In Exercises 11-20, the position vector r describes the path or an object moving in space.**

**(a) Kind the velocity vector, speed, and acceleration vector of the object.**

**(b) Evaluate the velocity vector and acceleration vector of the object at the given value of t.**

** Position Vector Time**

**(a)**

To determine

**To Calculate:** The velocity vector, speed, and acceleration vector of the object.

Explanation

**Given:**

The given position vector and time is

**Calculation:**

Consider, the position vector;

The velocity vector (at any time) is,

**(b)**

To determine

The velocity vector and acceleration vector of the object at the given value of *t*.

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendental Functions

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendentals

Finite Mathematics and Applied Calculus (MindTap Course List)

Essentials Of Statistics

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

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

Calculus (MindTap Course List)

Understanding Basic Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Single Variable Calculus

Finite Mathematics

Mathematical Excursions (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Probability and Statistics for Engineering and the Sciences

Intermediate Algebra

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Contemporary Mathematics for Business & Consumers

Elementary Geometry For College Students, 7e

Elementary Technical Mathematics

Trigonometry (MindTap Course List)

Calculus of a Single Variable

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students