Question 1.7B on your Lab Worksheet Consider the following...

Question 1.7B on your Lab Worksheet Consider the following scenario: You drive from Oxford St. in Worthington directly toward Stuart (east on I-90), But at the 2nd exit you come to (at Zeh Ave), you change your mind about where you want to go. You turn around on I- 90 and head back toward Oxford St. in Worthington for 1.5 miles, where to stop due to a flat tire. What is the overall distance travelled?

Transcript

00:01 For this problem, you're trying to answer what is the furthest you can get away from the camp.

00:08 If you need to make these three moves, you can move two kilometers east, two kilometers at 30 degrees north of east, or one kilometer west.

00:27 We can also do these either positive or negative in either direction.

00:36 And the question is, how far would you be from the camp when you're the furthest you can possibly be? i think the first thing to note here is the order doesn't matter.

00:50 If you go two kilometers east and then one kilometer west, or if you go one kilometer west and then two kilometers, east, you're going to end up at the same point.

01:04 Your start point and your end point will be the same.

01:08 I can draw a picture to better illustrate that.

01:11 So if you go two kilometers east and then one kilometer west, you would end up here.

01:19 If you go one kilometer west and then two kilometers east, you would end up at that same position.

01:29 So the order does not matter, which means that the thing that really matters in adding these three vectors together is we need to determine if we are going to choose the positive or negative version of each of these.

01:57 If we are starting out, here let's say here is the base camp and we want to get as far away from the base camp as possible.

02:10 The first thing i see is that we could go two kilometers east or two kilometers at 30 degrees north of east.

02:18 Again, it doesn't matter which direction, but say we go two kilometers east that puts us here.

02:25 Excuse me...

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