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Ato During What What disuacted what the time which the the tota yrtheir Tme uring minute displacement cell above (min) the distance phone first interval the travele...

Question

Ato During What What disuacted what the time which the the tota yrtheir Tme uring minute displacement cell above (min) the distance phone first interval the traveled the does (ueiccity nutes the person during #t/oin) Lhe person the during person gain first the someone the first most minutes? going furthest minutes? the distance froni wrong 2 way 3 rting moving position walkway when whileAdd WorkWhat the avel Imin ocitythe person during theminute walk?

Ato During What What disuacted what the time which the the tota yrtheir Tme uring minute displacement cell above (min) the distance phone first interval the traveled the does (ueiccity nutes the person during #t/oin) Lhe person the during person gain first the someone the first most minutes? going furthest minutes? the distance froni wrong 2 way 3 rting moving position walkway when while Add Work What the avel Imin ocity the person during the minute walk?



Answers

A person who walks for exercise produces the position-time graph given with this problem. (a ) Without doing any calculations, decide which segments of the graph $(A, B, C, \text { or } D)$ indicate positive, negative, and zero average velocities. $\quad$ (b) Calculate the average velocity for each segment to verify your answers to part (a).

Alright, we're given a position versus time graph which looks kind of like this. Um Let me see here, I need to look at the book, position versus time. Okay up down over over so goes up down back to the book. Uh Okay and then we've got a B C. D. Already. Okay so velocities, so again this is position versus time. So if the slope is positive, that would be a positive velocity, that would be a and also see positive velocities, negative velocity would be a slope negative going downward. That would be B. And zero velocity would be horizontal. That's d Okay let's look at the next was the average velocity for each segment. The average velocity is just the slope. So for a rise over run Is going to be rise 1.25. Run 0.2. Um For B it's gonna rise negative, It's going to go from 1.25 to 0.5. That would be negative .75 & 0.2. Again. See This one's going up .25 and over .4 and d Rise zero Run 0.2. Well at least I can do that calculation in my brain. Trying to do this calculation in my brain. That would be um five 8th. Which would be 0.625. So I can do that one. Um points so 75 over to -75 over to. That would be 37. a half. So -37.5. 125 over to. That would be 62.5 who I did not use a calculator. All right. Thank you for watching.

In this question, we will learn about some basic concept of the lady spirit and right. The question is we have to find the time, the period T of the bus service. Right? So, as given the question bought the bus and the cyclists are moving in the same direction. The related with velocity would be BB -3. That is maybe minus last 20. The distance covered. Mhm would be the distance covered would be equal govt, Right? So that would be equal to Yeah. Mhm Maybe -20. That is the speed multiplied by that. I am taken night. Now in the second case, when the bus is moving from beat away, the bus sends cyclists are moving in the opposite direction. Right? So BBC would be equal. Do baby minus? We see that is Maybe -120. Right? In this case, the distance covered it, sweetie. So we be plus 20, multiplied by six is equal to be baby Now from the equation one. And do We can find the value of baby, that is 40 km/h. Mhm. Late and also 40 multiplied by the Yeah, we can substitute this value in any of the equation to find the time period. So the period comes out to be nine minutes. Yeah. Mhm. Like hands, the correct solution would be

Okay, so have our function. The of key physical T cubed over 60 40. Okay, Were asked to find the position and meters and t o a rest to find the average lost again. So for part A, we have our interval from 195 to put verified H or actually D at 1.95 What does that give me? What you got into this question? Over here we get This is equal to a very important job. 358120 yeah. 2.5 Relying quick 635 It's five for 17 and then an average velocity at equal to 9.6358417 minus 90358 I wanted to by over 2.5 minus one point. I get to give us a six point dog also or 1667 meters per second for things we do the same thing. But on our interval. 1.9522 point dildo. But OK, what is D At one place You used me 9.30335831 Would it be at 2.0 What it gives me No 0.36335835 Now our average velocity using the former gets six point jonesone. So work the days for a second. So it seems like we're getting closer and closer to just six. Let's go see. Our interval is 1499512 point of sale five d at 1.995 Is that next 9.303358 be at two points. I feel fine. That gives me I agreed to a six dream 358 Now our average lost. That's it. Equal to six foot Jones. Oh, so until 333326 meters per seconds. Okay, Now support beat our intervals from two to two points. 114 is old and then won it in the act to What is that line? The two foot builder sounds 1339 and grease on everything. They're average velocity based on this is 6.3%

This problem, We're gonna use the ideas of relative velocity as well as the concept for relating velocity to the distance traveled, to figure out how long will it take each of these people to get to the end of a moving walkway? And the first the first person we're going to consider is the person who is not moving. And so if they're not moving relative to the to the walkway, then their total velocity will just be the velocity of the walkway just standing on it and moving with it. So, if you want to use the the relative velocity equations, I labeled her as a lady. So uh the velocity of the lady relative to the walkway will be the velocity of the lady relative to the Earth, My civil ah city of the lady relative to the walkway. And uh we know that the the velocity of her actually, this is this last philosophy issue with the velocity of the walkway relative to the earth. This is correct, and we know that the velocity of the lady relative to the walkway is zero. She's not moving relative to the walkway, so therefore the velocity of the lady relative to the earth and this is a vector equation, velocity of Lady relative to the earth is equal to the velocity of the walkway relative to the earth. So she's just moving at the same velocity as the walkway, Which is equal to v. one. So and assuming and it will have her, she will have a velocity with the magnitude of the magnitude of the one, which is we'll just call the one and so the the time it takes for something to move a distance D when in this case they're moving a distance L will be the ratio between the distance and the constant velocity at which they're traveling. So for the lady the time it will take her to move across the distance, L will be just L over visa. One. For the man we have, he is moving at a velocity V. Two relative to the walkway. And using the relative velocity equations, we know that the velocity of the man relative to the walkway will be equal to the velocity of the man relative to the earth, minus the velocity of the man of the walk away relative to the earth. And we don't know the velocity of the man relative to the earth. That's what we need to find. So the loss of the man relative to the earth will be the velocity of the man relative to the walkway plus the velocity of the walkway relative to the earth. This first factor was just defined as V two. We were told he moves at a velocity V. Two relative to the walkway and we're told that the velocity of the walkway is the one, therefore the velocity of the man relative to the earth is the sum of these two vectors. And since the vectors point in the same direction, they both point in the direction of, say the X direction which is along the walkway, so therefore the magnitude of the velocity of the man relative to the earth, it's just the son of the magnitudes and therefore the time it takes him well. They will it for em, for man is the distance traveled divided by the constant velocity at which they travel, which is a visa to plus you want. And so it will take him less time to travel. The lady then the lady which makes sense because he's moving faster.


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