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Q. 14

Found in: Page 871


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Complete the following definition: If r(t) = x(t), y(t), z(t) is a twice-differentiableposition function, then the acceleration vector a(t) is . . ..

If r(t)=x(t), y(t), z(t) is a twice differentiable position function. Then, a(t) = x''(t), y''(t), z''(t)

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Step by Step Solution

Step 1. Given information is:

r(t)=x(t), y(t), z(t) be a twice differentiable position function.

Step 2. Acceleration Vector

Let c be the curve defined by r(t)=x(t), y(t), z(t), which is a twice differentiableposition function on the interval IR. Then the acceleration vector is given by:a(t) = r''(t) a(t) = v'(t) =x''(t), y''(t), z''(t)Thus, a(t) = x''(t), y''(t), z''(t)

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