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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?

$$225 \mathrm{ft}$$

02:23

Wen Z.

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 9

Antiderivatives

Derivatives

Differentiation

Volume

Campbell University

Oregon State University

Idaho State University

Boston College

Lectures

01:11

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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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