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Loeleaa ba Eetttis 41 pueld ZaWeteml btha statamarz Iqua &7 Fbhatmachamaleal MAAqpltexplaln YourLo that I6 I74ri uJandcuan concinteilyrelectly ~ oteha weltht % $07 timaANven hy tuAenlche @ truna Jrom & xpring 4c4 Fr Ictond undt i tnamsured in secocdi Daaeto Ito Eleehthe tuncuen uslrg (#0 euhuni balou_ Ihn Eot nIll epen the Graph Il7oy Kant (0 print It out Mokalen ! puFatdendeBu nochan'Yeut Ete67 mth yourToutnmulnteatFind tha matunum velocity e/ the Nyoicht to Ibel eieh Uits ameaunte

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Problems $39-42$ ask you to plot graphs based on the following story: "As I drove down the highway this morning, at first traffic was fast and uncongested, then it crept nearly bumperto-bumper until we passed an accident, after which traffic flow went back to normal until I exited." Driving speed against time on the highway

So you have Delta X equaling forty five meters and I mean the the speed of the life cord relative to the water, which would be visa of X, and this is equalling to point zero meters per second. So to find the time out to tea, this would simply be dealt toe acts divided by the velocity in the extraction. So this would be forty five meters divided by two and it's taking twenty two point five seconds. So this will be your answer for the lifeguard too rich to reach the child. However, during this time during this delta T, a child and lifeguard are moving downstream and they're moving downstream at one meters per second. So if you wanted to say how far downstream, we would say twenty two point five seconds times one meter per second and we're getting twenty two point five meters downstream, so it would take twenty two point five seconds for the lifeguard to reach the child. However, by the time the lifeguard reaches the child there already twenty two point five meters downstream, so this would be our second answer. That is the end of the solution. Thank you for watching

That's position. And here we have time. So in this year, the the person drawn Saudi to the starting point and then wets undo. He hears the pistol, and then he acts that it's rapidly. So he Axler is rapidly and then whatever constant speed he gains. He keeps on going at that speed. He keeps on going at that speed until he crosses the finish line over here. So that's the finish line, then use those down. You are the most top, and then he walks a little bit. And then finally he stops. So this is how it will look like So this party's slowing down on at this point, he's walking, and then at this point he stops, and after that, over here it is just a flat line.

In this problem were given a graph showing how maximum sustainable swimming speed US varies as a function of temperature. T were asked to describe the meaning of the derivative s prime of tea and specify The units were then asked to estimate the value of s prime of 15 and s prime of 25 interpret them So the derivative s prime of T shows us how maximum swimming speed s changes. With respect to temperature t, the units are centimeter per second for degrees Celsius. Next we can see that the graph were given doesn't have any distinct points. So we have to visually estimate the slope at X equals 15 and X equals 25 in order to estimate the values of the derivatives. So by visual estimation, we see that s prime of 15 appears to be about one and s prime of 25 appears to be about negative too. Our first estimation as prime of 15 tells us that is, the temperature rises past 15 degrees Celsius. The maximum swimming speed increases at a rate of about one and our second estimation as prime of 25 tells us that as the temperature rises past 25 degrees Celsius, the maximum swimming speed decreases at a rate of about two

For a given a a bunch of information about this by playing dinosaur um that obviously a flying piper dinosaur, and um given a nice graph here of the power that they would expect this dinosaur to um be producing to go different speeds. Mhm. Now we see that here there's actually a minimum power to be going right around 10 m/s. Now, what we can do? The first question is just a multiple choice question is um estimate the range of flight speeds for this dinosaur, if its power output is 9.8 watts, so 98 watts is right in here, somewhere, you know, close to 10, so we're, you know, somewhere in between here and you know, say here, so that looks like about, you know, between 7.5 and 15 m per second. So somewhere in that range And given the answers we have to choose from, we see one answer is 7.7-15, so that looks like that's the closest and it's pretty darn close. So um our answer to this case is B. So if they were if it was flying at, you know, any ring, anything in any range in between these speeds, um the power output would actually be this or less.


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