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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:**

The derivative of the given position vector is:

Now derivative of the velocity vector to get acceleration:

**(b)**

To determine

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

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