Ch8 Lesson01

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Information about Ch8 Lesson01

Published on February 25, 2009

Author: heviatar

Source: slideshare.net

Rocking down the highway, or  ... an introduction to applications of integrals ... A highway near Winnipeg, MB

A car leaves Winnipeg headed East or West on a straight highway traveling at  an average speed of 35 miles per hour. Four hours later, how far from  Winnipeg is the car? Inconclusive

A car leaves Winnipeg headed East or West on a straight highway (Dino's  driving again) traveling at an average speed of 35 miles per hour. Four hours  later, how far from Winnipeg is the car? (Remember, Dino's driving.) Let's look at a possible velocity function:

A car leaves Winnipeg headed East or West on a straight highway (Dino's  driving again) traveling at an average speed of 35 miles per hour. Four hours  later, how far from Winnipeg is the car? (Remember, Dino's driving.) What if this was his velocity function?  ­140

A car leaves Winnipeg headed East or West on a straight highway (Dino's  driving again) traveling at an average speed of 35 miles per hour. Four hours  later, how far from Winnipeg is the car? (Remember, Dino's driving.) What about this velocity function?

Let's imagine a particle moves along the x­axis with velocity given by v(t) and  we want to find the total distance the particle travels between t = 0 and t = 5  seconds. And, uh, Robert is driving the particle.  How would we do this?

What's the difference between these three integrals? What would they tell you  about a particle that Robert might be driving. (Don't you think that's weird, that  Robert drives particles? Well, to each his own I guess.)

What did we learn today? The difference between Net Distance and Total Distance (DISPLACEMENT)

HOMEWORK Exercise 8.1 #1 ­ 15 Odds

Attachments A highway near Winnipeg, MB

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