   Chapter 13, Problem 10RQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.10. If κ(t) = 0 for all t, the curve is a straight line.

To determine

Whether the statement “If k(t)=0 for all t, the curve is a straight line” is true or false.

Explanation

Given data:

k(t)=0

Formula used:

Expression for curvature in terms of r(t) and T(t) .

k(t)=|T(t)||r(t)| (1)

Substitute 0 for k(t) in equation (1),

0=|T(t)||r(t)|<

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