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A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 22 minutes at an average speed of 7.2 $\mathrm{m} / \mathrm{s}$ . During the second part, she rides for 36 minutes at an average speed of 5.1 $\mathrm{m} / \mathrm{s}$ . Finally, during the third part, she rides for 8.0 minutes at an average speed of 13 $\mathrm{m} / \mathrm{s}$ . (a) How far has the bicyclist traveled during the entire trip?is her average velocity for the trip?

(a) $=26,760 \mathrm{~m}$(b) $6.76 \mathrm{~m} / \mathrm{s}$ North

Physics 101 Mechanics

Chapter 2

Kinematics in One Dimension

Motion Along a Straight Line

Cornell University

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Lectures

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in this problem. We have a bicyclist in the bicyclist is running a race and there are three parts of the race for her. She is running in part one at 7.2 meters per second and she does that for 22 minutes then in part to she's going 5.1 meters per second for 36 minutes and then in part three, she's going at 13 meters per second for eight minutes. His part one. So the idea is we have to find d total the total distance that she has traveled and be fined the average velocity for her trip. And to do that, we're gonna have to find the distance first. So let's go ahead and take part A. We know that the velocity is equal to the distance divided with time and therefore we can say that the distance is equal to the velocity times the time. So for part one we're gonna take d one is equal to Hey, wait a minute. Velocity is fined 7.2 meters per second, but I can't hold up by that by 22 minutes. I have to change that into second, so I want to do that appear from each one 22 minutes is equal to 22 times 60 which is 1320 seconds. 36 minutes. Multiplied by 16 is 2000 160 seconds and finally eight minutes is eight times 60 which is 480 seconds. All right now I can actually do that so units will work out. So 7.2 meters multiplied by 1320 seconds gives me a total distance off 9000 500 and four meters are too. Part two D to the distance in part two is going to be equal to 5.1 meters per second, multiplied by time of 2116 seconds. And notice that free to these two second cancels ended with right units of meters and so this is going to be able to 11,000 016 meters and or three d three is going to be equal to 13 meters per second. While she was really going fast in the head, multiplied by 480 seconds. Good finish. And so she covers 6000 240 meters. In that time, I'm gonna go ahead and Adel's up. This is the answer. For a total, it's going to be equal to 2000. No, 26,000, 700 and 60 meters. So that is my answer apart, eh? For part B. What a way to do is we need to know that the velocity is able to distance over time. And here I'm looking for detailed because average velocity is gonna be detailed over Tito. Total tie Total distance divided by the total time. So this could be able to 26,760 meters divided I 13 to 0 plus 2160 plus for +80 seconds. When I get that I end up with, the average is equal to 6.75757 continues. And so this is gonna be able to 6.76 Neither is per second. Um, I noticed that it says the average velocity is this arrow appear actually tells us that we have to have two parts. That is the magnitude 7.76 and a direction. And so I'm going to write the direction that she is traveling, which is north. And so this is my answer or apart be

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