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Session 20: Velocity and Arc Length

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes
  • Review an example
  • Watch a recitation video
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c9ac1a6c28f3628a2174b775795c1ff6_MIT18_02SC_L6Brds_5.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/eb7e5d61ef2b6000bca4af2a31aa93c5_MIT18_02SC_L6Brds_6a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/0fb2abe76fde0ed9075b3a864e644f79_MIT18_02SC_L6Brds_6.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/87810b173d48ac8adef6955714b12d62_MIT18_02SC_L6Brds_7a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/8c065af6bd2119965c6b8b428b02b0a9_MIT18_02SC_L6Brds_7.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/671bede82b44a578cee89de523bd0bdb_MIT18_02SC_L6Brds_8a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9a948fb5b96d2b70f41bd011fbf5fd2b_MIT18_02SC_L6Brds_8.png)

Velocity, Speed and Arc Length (PDF)

Examples

Velocity, Speed and Arc Length (PDF)

Recitation Video

Parametric Curves: Velocity, Acceleration, Length

Problems and Solutions

Problems: Vector Derivatives and Arc Length (PDF)

Solutions (PDF)

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Course Features

laptop_windows Interactive simulations - Applet
grading Exams - Solutions
grading Exams - Solutions
grading Exams - Solutions
notes Lecture notes - Complete