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When are you closest to the candy? When are you closest to the candy?

When are you closest to the candy? - PowerPoint Presentation

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Uploaded On 2016-09-16

When are you closest to the candy? - PPT Presentation

An optimization roller coaster odyssey Problem You are riding a roller coaster You need to grab a piece of candy on your way by Calculate when you will be closest to the candy Roller Coaster Video ID: 467231

roller candy derivative coaster candy roller coaster derivative closest distance graph grab remember maxes mins

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Presentation Transcript

Slide1

When are you closest to the candy?

An optimization roller coaster odysseySlide2

Problem:

You are riding a roller coaster. You need to grab a piece of candy on your way by. Calculate when you will be closest to the candy.

Roller Coaster VideoSlide3

Where is the roller coaster closest to the candy?

How long of a stick will you need to grab the candy?

Things to remember:

Distance formula (we derived this yesterday)

Use your calculator

You will come up with more than one answer. The derivative is 0 in 5 places. Remember you need to figure out which is the minimum

Link to DESMOS for this questionSlide4

What does the distance graph look like?

Lots of mins and maxesSlide5

Distance and Derivative

How do the mins and maxes correspond to the derivative graph?