SOLUTION: A fish is caught in a water wheel. A graph of its height (in metres) with respect to the surface of the water over time is shown below. https://snag.gy/jFuUZK.jpg a) What is th

Algebra ->  Functions -> SOLUTION: A fish is caught in a water wheel. A graph of its height (in metres) with respect to the surface of the water over time is shown below. https://snag.gy/jFuUZK.jpg a) What is th      Log On


   

Question 1141494: A fish is caught in a water wheel. A graph of its height (in metres) with respect to the surface of the water over time is shown below.
https://snag.gy/jFuUZK.jpg
a) What is the diameter of the water wheel?
b) How long does it take the fish to complete one revolution of the wheel?
c) Does the fish reenter the water? If so, for approximately how long?
d) After 36 seconds, at what height will the fish be?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
Diameter of the wheel is twice the amplitude
of the sine wave +6+%2B+2+=+8+
(b)
The period ( 1 revolution ) can be measured
from peak to the next peak +12+-+4+=+8+ s
(c)
About 3 sec each cycle is below the +h=0+ line
(d)
When +t=0+, +h+=+-2+
4 cycles later, at +t=32+, the height is -2 again
In 4 more sec, at +t+=+36+, the height is maximum
+h+=+6+