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sweet-ann [11.9K]
4 years ago
6

At what rate is soda being sucked out of a cylindrical glass that is 6 in tall and has radius of 2 in? The depth of the soda dec

reases at a constant rate of 0.25 in/sec.
Physics
1 answer:
evablogger [386]4 years ago
4 0

Answer:

The soda is being sucket out at a rate of 3.14 cubic inches/second.

Explanation:

R= 2in

S= π*R²= 12.56 inch²

rate= 0.25 in/sec

rate of soda sucked out= rate* S

rate of soda sucked out=  3.14 inch³/sec

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Answer:

<em>Details in the explanation</em>

Explanation:

<u>Vertical Launch</u>

When an object is thrown vertically in free air (no friction), it moves upwards at its maximum speed while the acceleration of gravity starts to brake it. At a given time and height, the object stops in mid-air and starts to fall back to the launching point until reaching it with the same speed it was launched.

We are given an expression for the height of an object in function of time t

h = -16t^2 + 64t

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We now have to evaluate h for the following times, assuming h comes in feet

At t=1 sec

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At t=2 sec

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The object is at a height of 64 feet. This is the maximum height the object will reach, as we'll see below

At t=3 sec

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Assume the snow is uniform, and horizontal.

Given:

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