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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

The velocity vector, speed, and acceleration vector of the object r → ( t ) = 4 t . i ^ + 4 t . j ^ − 2 t . k ^ , t = 3

Explanation

**Given:**

The given position vector and time is

**Explanation:**

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

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