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Unit tangent vector - PowerPoint PPT Presentation

13.3

13.3. Arc Length and Curvature. Arc Length:. As studied in Calc 2:. Leibniz notation. Arc Length: plane curve (2D). If we parametrize y = f(x) as follows: x = t , y = f ( t ), a ? t ? b , then the arc length is: L = =

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12.3

12.3. Velocity and Acceleration. Projectile Motion. Examples.

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Sec 14.3 Arc Length and Curvature

Sec 14.3 Arc Length and Curvature. Definition : The length of a space curve, a ? t ? b , that is traversed exactly once as t increases from a to b is given by. Definition : The arc length function s.

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Chapter 14

Chapter 14. Section 14.3 Curves. z. The Direction of the Tangent Vector To see the geometric meaning of the derivative of a vector function consider the curve and where you are located at a time . Remember the derivative is the following limit. y. x.

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Unit tangent vector - PowerPoint PPT Presentation

13.3

12.3

Sec 14.3 Arc Length and Curvature

Chapter 14