Note.....the max height - the diameter = starting height [ low point]....so
443 - 394 = 49 ft
1. When
t = 0, h = 49 [starting point ]
t = 7.5, h = 246 [first quarter point]
t = 15, h = 443 [second quarter point ]
t = 22.5, h = 246 [ third quarter point ]
t = 30, h = 0 [ back to starting point ]
There are probably several trig functons that would work, but here's one possibility:
2. h(t) = 246 - 197cos[ (pi/15)*t ] where t is in minutes
3. The vertical shift is 246
4. The amplitude is l -197 l = 197
5. There is no horizontal shift in this function
6. The period is 2pi / [pi/15] = 2 * 15 = 30 minutes
The frequency is the reciprocal of the period = 1/30 [it completes one revolution every 30 minutes]
7. See (2)
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