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Problem 69 Hard Difficulty

A stone was dropped off a cliff and hit the ground with a speed of $ 120\;ft/s $. What is the height of the cliff?


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02:23

WZ

Wen Zheng

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

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Derivatives

Differentiation

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Top Calculus 2 / BC Educators
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Volume - Intro

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.

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06:14

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Video Transcript

we know that a of CI is negative 32 feet per second squared. Therefore, what we know we can do is we can write this zero equals negative 32 time zero plus c. Thus, we know that seem must be equivalent to zero. Now, remember, they said the it hits the ground with the speed of 120 feet per second. And the problem therefore we know negative 32 teeth set equal to negative. 20. Remember the reason why it's night ofhis? Because actually moving downwards, we end up put three and 3/4 or 3.75 seconds. Therefore we know we can, right? A safety is negative. 32 terms 1/2 which is negative. 16 t squared plus eve to what she means. We can set this equal to zero giving us see if to solve equals 225 giving our final equation acid two's negative. So as of zeros, negative 32 were playing in zero plus R C of two we figured out was 225. This gives us 225 feet and this is our solution for the problem

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Related Topics

Derivatives

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Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

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.

Video Thumbnail

06:14

Review

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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