A car leaves Winnipeg traveling east or west on a highway at 35 miles per hour. The document discusses using integrals to calculate how far the car is from Winnipeg after 4 hours, taking into account the car's average speed and time traveled. It provides some examples of potential velocity functions that could model the car's motion and notes the driver's poor driving abilities may impact the results.

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

2. 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

3. 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:

4. 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

5. 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?

6. 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?

7. 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.)

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

9. HOMEWORK
Exercise 8.1
#1 ­ 15 Odds

10. Attachments
A highway near Winnipeg, MB