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### Der. App Word Problems

 Motion Problems: Position, Velocity, and Acceleration1)  Relationship of position, velocity, and acceleration and applied extrema. Explanation:Practice Problems2)  Speed increasing/decreasing and moving away/towards the origin. Explanation:Notes | AnnotatedQuizlet flashcardsVideo (from Hollis) - watch until 12:25 Practice Problems:Worksheet | Answers3)  Interpreting the graph of motion functionsExplanation:Notes | AnnotatedPractice Problems:Worksheet | Answers4)  AP Free Response QuestionsAP questions: Motion along a line WS – derivatives only2010 (Form B) Q6 - Given a position equation - parts a, b, and c2010 (Form B) Q4 - Given v(t) as a graph - part a and b2007 Q4 - part a2005 (Form B) Q3 - parts a and b2004 Q5 - parts a, b, and c2003 Q2 - Given v(t) as an equation - parts a and b2003 (Form B) Q4 - Given v(t) as an equation - parts a, b, and c2002 Q3 - Given v(t) as an equation - part a and b2000 Q2 - Given v(t) as a graph and as an equation - parts a & b1999 Q1 - Given v(t) as an equation - parts a & b1998 Q3 - Given v(t) as an equation and as a table - parts a, b and c5) Derivative Review 6) Applied Max./Min. Problems or Optimization ProblemsExplanation:Notes | AnnotatedNotes #2ExampleVideos:Worldwide Center of Mathematics: Optimization (best example at 46:50Hollis: applied optimization problems: slides 1, 3, and 4 (slide 2 is more advanced)Khan: Optimization with Calculus 1: minimize x^2 + y^2 if xy = -16Khan: Optimization with Calculus 2: open box problemKhan: Optimization Example 4: minimum cost of an open boxWebsites:  Optimization Problems from Visual Calculus: website with to help with visualizationJava applets illustrating the solution to finding the maximum area of a rectangle which can be inscribed in a semicirclesJava applet illustrating the solution to finding the longest ladder which can be carried through a hallway with a corner.Java applet illustrating the solution to finding the shortest time to move through the desert to a town.Java applet illustrating the solution to finding the shortest ladder that can lean over a fence against a building.Practice ProblemsRelated Rates8) Review Implicit Differentiation with respect to t Notes | Annotated9)  Related Rates  Notes | Annotated | Related Rates WS #1 | Answers10) Related Rates with Multi-step Problem Solving  Notes | WS #2 | Answers11)  Related Rates: Cylinders and Cones Notes | Annotated | WS #3 | AnswersWebsite: Animated gifs or quicktime movies that are visually represented of different related rates problemsVideos:Hollis (start watching at 9:50 to 13:11 and 16:45-20:13)Worldwide Center of Mathematics: related rates (41:53)Khan Video: Rates of change (part 2): area of expanding circleKhan Video: Ladder rate of change problemKhan Video: Introduction to rate-of-change problems: cone problem AP Free Response:AP Free Response Questions (old) WS2008 Q3 - parts a & b2007 Q5 - part b2003 Q5 - part a2002 (Form B) Q62002 Q512) Word Problem Review:  WorksheetFinals Review: in addition to previous review worksheets, here is one more