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A car is travelling at $ 50\;mi/h $ when the brakes are fully applied, producing a constant deceleration of $ 22\;ft/s^2 $. What is the distance traveled before the car comes to a stop?

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01:55

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

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we know that we have the prime of cheese of the derivative of velocity, which we know is equivalent to accelerations. Empty is negative 22 therefore, V A t. The integral of acceleration is negative. 22 times are variable of tea plus c. Therefore, if we stop via oh, is CR constant, you know see is 220 divided by three which gives our equation V of tea is equivalent to negative 22 tea plus 2 20 divided by three us of tea is negative. 11 t squared was 220 over three. Chief trustee and then we have zero is negative. 22 tea lost 220 over three and then t is 10 over three, which gives us night of 11 times 10 over three square was 220 over three times 10 over three, which some flies to 122.22 feet. That's our section

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