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arod5702
06.07.2019 •
Mathematics
Aferris wheel rotates around in 30 seconds. the maximum height above theground is 55 feet and the minumum height above the ground is 5 feet. what function would model the height as a funtion of t in seconds
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Ответ:
Following are the calculation to the function:
Given:
To find:
Solution:
period![\sin \theta = 2n\\\\](/tpl/images/0058/9885/fdb90.png)
Time taking![= 30 \ second\\\\](/tpl/images/0058/9885/0e9ba.png)
period of our function![= \sin \frac{\pi}{15} \ t\\\\](/tpl/images/0058/9885/14904.png)
maximum function
minimum function![= 5 \ feet\\\\](/tpl/images/0058/9885/ce71e.png)
Learn more:
link
Ответ:
The required function is
.
Step-by-step explanation:
The general sine function is
Where, A is amplitude,
is period, C is phase shift and D is midline.
It is given that the maximum height above the ground is 55 feet and the minimum height above the ground is 5 feet.
The amplitude of the function is
The Midline of the function is
A ferris wheel rotates around in 30 seconds. So, the period of the function is 30.
Substitute A=30,
, C=0 and D=25 in equation (1), to find the required function.
The required variable is T. Replace the variable x by T. So the height function is
Therefore the required function is
.
Ответ:
5,5
Step-by-step explanation: