Sorry that’s it’s sloppy i tried to write it on my phone. hope this part helps. i’ll try to do the bottom part now
Answer:
Sorry I don't know
Step-by-step explanation:
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Sound travels 10200m farther through stone in 17 seconds than through aluminium
Speed of sound in aluminium = 3100 m/s
The speed of sound in stone = 3700 m/s
Time taken = 17 minutes
Distance traveled = Speed x Time
Distance traveled by sound in aluminium in 17 seconds = 3100 x 17
Distance traveled by sound in aluminium in 17 seconds = 52700 m
Distance traveled by sound in stone in 17 seconds = 3700 x 17
Distance traveled by sound in stone in 17 seconds = 62900 m
Difference in the distance traveled = 62900 - 52700
Difference in the distance traveled = 10200 m
Sound travels 10200m farther through stone in 17 seconds than through aluminium
Learn more here: brainly.com/question/13096122
The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.
<h3>How to derive equations for periodical changes in time</h3>
According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:
h = a + A · sin (2π · t/T + B) (1)
Where:
- a - Initial position, in meters.
- A - Amplitude, in meters.
- t - Time, in hours or seconds.
- T - Period, in hours or seconds.
- B - Phase, in radians.
Now we proceed to derive the equations for each case:
Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):
A = (20 m - 8 m)/2
A = 6 m
a = 14 m
Phase
20 = 14 + 6 · sin B
6 = 6 · sin B
sin B = 1
B = π/2
h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.
Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):
A = (40 m - 2 m)/2
A = 19 m
a = 21 m
Phase
2 = 21 + 19 · sin B
- 19 = 19 · sin B
sin B = - 1
B = - π/2
h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.
Lastly, we proceed to graph each case in the figures attached below.
To learn more on sinusoidal models: brainly.com/question/12060967
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