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The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied.
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00:40
Frank Lin
00:33
Amrita Bhasin
02:08
Linda Hand
Calculus 1 / AB
Chapter 5
Integrals
Section 1
Areas and Distances
Integration
Missouri State University
Baylor University
Boston College
Lectures
05:53
In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
40:35
In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
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The velocity graph of a br…
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The velocity graph of brak…
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The graph shows the veloci…
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Velocity The graph shows t…
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In Exercises 11–13, use th…
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The velocity graph of a ca…
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in this problem, the velocity graph of a breaking car is shown, right? So in red line it is given in the graph. Thanks. Use it to estimate the distance traveled by the car while the brakes are applied. So could be here, we will find area of each rectangle. Right? So this curve is actually making a rectangle. So using the formula R. N. Is equal to W. A. Status weight into height. Right? So we are just we are just calculating the area for particular. This blue one, you can say. So it is observed that all the tangles have the same with that is one unit, right? Because this unit is one, this is also 34. So this difference is nothing but This is one unit only. Right? So now this after after multiplying the blue and edge width and height, we will get this value R when R two, R three, R four, R five and R six. Right? So now we will find the sum of areas of the rectangles. We will just add all the areas. We have found out that this are totally close to 55 plus 40 plus 25 plus 20 plus 10 plus Fine. So this will give us 155 square units. Right? So this is the estimated rectangles which is covering the area, right, so that they stand started by the car will be 155 km. So this is how we solve this problem. So this is only the area we needed to calculate, but this is basically the distance traveled as well. I hope you understood the concept. Thanks for watching.
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