Solving Velocity Problems

Solving Velocity Problems-62
(Answer: 11.18 km/h, 63.43 degrees or 26.57 degrees) Problem # 4 In problem # 3, a woman is running at 4 km/h along the shore in the opposite direction to the water's flow.

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So this is rate, or speed, is equal to the distance that you travel over some time.

So these two, you could call them formulas, or you could call them definitions, although I would think that they're pretty intuitive for you.

So velocity, and there's many ways that you might see it defined, but velocity, once again, is a vector quantity.

And you might be wondering, why don't they use D for displacement? And my best sense of that is, once you start doing calculus, you start using D for something very different.

(Answer: 13.45 km/h, 48.01 degrees or 41.99 degrees) Problem # 5 If a sprinter runs 100 m in 10 seconds, what is his average velocity?

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(Answer: 10 m/s) Problem # 6 The world record for the men's marathon is .How fast something is going, you say, how far did it go over some period of time. This is when you care about direction, so you're dealing with vector quantities.This is where you're not so conscientious about direction.The water is flowing west at 5 km/h, parallel to the shore.What is the velocity of the sailboat relative to ground, and what is the angle of travel that the sailboat makes with respect to the shore?So they gave us a magnitude, that's the 5 kilometers. And that is a vector quantity, so that is displacement. And the way that we differentiate between vector and scalar quantities is we put little arrows on top of vector quantities.Now that we know a little bit about vectors and scalars, let's try to apply what we know about them for some pretty common problems you'd, one, see in a physics class, but they're also common problems you'd see in everyday life, because you're trying to figure out how far you've gone, or how fast you're going, or how long it might take you to get some place. Normally they are bolded, if you can have a typeface, and they have an arrow on top of them.So first I have, if Shantanu was able to travel 5 kilometers north in 1 hour in his car, what was his average velocity? But if you give the direction too, you get the displacement. But this tells you that not only do I care about the value of this thing, or I care about the size of this thing, I also care about its direction. The arrow isn't necessarily its direction, it just tells you that it is a vector quantity.And so you use distance, which is scalar, and you use rate or speed, which is scalar. Now with that out of the way, let's figure out what his average velocity was. Because it's possible that his velocity was changing over that whole time period.But for the sake of simplicity, we're going to assume that it was kind of a constant velocity. So this is equal to, if you just look at the numerical part of it, it is 5/1-- let me just write it out, 5/1-- kilometers, and you can treat the units the same way you would treat the quantities in a fraction. Or you could say this is the same thing as 5 kilometers per hour north. So that's his average velocity, 5 kilometers per hour.


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