WEBVTT
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Hello, everyone. Today we're dealing with a problem
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of finding slopes for secret lines. We're giving a
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plot of the trajectory of the object that falls from
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some landing module towards the surface of the moon with
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the wind. So to find the slope of a
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secret line first we start with two points and we're
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trying to find this slope right here. The slope
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is just how much we go up by bad by
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how much we go, right? Bye. This
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is the rise in this throne. So we rise
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up and run. Right? So this slope is
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just equal to the rise. Divide by the run
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, simple as that. So we'll start with a
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and the slope of peak you won is just how
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much we go about it. Which is a T
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minus 2060. So 80 minus 20. And how
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much we go right by. This is just 10
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minus five. So I hear 10 minutes five.
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This gives us Sorry. 20. This gives us
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60 over five, and I'm gonna put in,
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um, the units here, which will make sense
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later on. This gives us 12 meters per second
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for peak. You too. We similarly have 80
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80 minus 38 divided by 10 months. Seven which
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gives us 42 over three meters per second, which
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is, uh, 14 meters per second. For
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pick you three will have 80 minus, uh 57
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divide by 10 minus 8.5, which gives us 23
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divided by 1.5, which is around, uh,
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15.3. Well, it's exactly 15.33 meters per second
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and lastly we have P Q for which is equal
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to 80 minus 72 overturned Manus line 0.5 giving ghosts
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aid over zoo 0.5 meters about by 0.5 seconds,
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which is equal to 16 meters per second. So
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these are the slopes for each of the secret lines
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that we have now for B These asking us to
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approximate to say about. So we have to approximate
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how fast the object was going right before it hit
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the surface or when it hit the surface and the
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most accurate, um, calculation we have for this
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is this right here The secret line right here.
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And this slope right here represents a speed, as
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we see here, meters per second minutes per second
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per second meters per second. All of these were
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speeds. So toe answer B. We simply just
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use the most recent speed that we calculated which is
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peak you for. And we already found that to
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be 16 meters per second. That's it. Thank
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you.