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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Thursday, October 06, 2005

DRIVE SAFELY!

Today in class we went on a road trip ;) Boy! Did we learn a lot today.. We looked at a graph displaying the journey to our destination.. It looked like we took a VERY long time.. We calculated the average speed or velocity using the formula, change of distance over the change of time. With our results being 45km/hr for the whole tirp, we thought that JAYSON drove pretty darn slow. But you see there was a constant line, which meant we stopped.. Also, we thought that he was driving slow, but in fact, the more we looked into the velocity in x amount of time.. we realized that, he was driving pretty fast! Then we tried XUN! We thought she would be better! She was worse ;) We could have gotten hit into a building like Chris mentioned because on the graph we didnt have a complete stop; the car was still moving! We discussed about secants and tangents, but that will go into more detail in another class.. But anyhow, the whole point of this 'trip' of ours, in my view was to realize that depending on where you look at the graph, you can come up with one answer, and then look at the whole graph and see such a big difference. You see, calculating the average speed was determined by looking at the whole graph. By looking at only on piece of the graph, you determined the instantaneous velocity. Which is.. dun! dun! dun! The topic for tonights homework!

The next scribe will be the one and only SARAH!



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