19. A small windmill has its centre 6 m above the ground and blades 4 m in length. Ms. Panacci's cat Theo is stuck on one of the blades and holding on for dear life! His paws are holding on at point P. In a steady wind, Theo makes one complete rotation in 12 seconds. a) Assuming that point P starts at its lowest possible position, sketch the height vs. time graph that models one full rotation of poor Theo (point P) b) Determine an equation that models the relationship between the height (y) of point P above the ground, in metres, at time (x), in seconds. c) If the blade makes two full rotations, at what time(s) is point P exactly 8 m above the ground? Solve algebraically.
19. A small windmill has its centre 6 m above the ground and blades 4 m in length. Ms. Panacci's cat Theo is stuck on one of the blades and holding on for dear life! His paws are holding on at point P. In a steady wind, Theo makes one complete rotation in 12 seconds. a) Assuming that point P starts at its lowest possible position, sketch the height vs. time graph that models one full rotation of poor Theo (point P) b) Determine an equation that models the relationship between the height (y) of point P above the ground, in metres, at time (x), in seconds. c) If the blade makes two full rotations, at what time(s) is point P exactly 8 m above the ground? Solve algebraically.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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Can you please answer the attached grade 12 advance functions math equation on paper and please make sure it's correct. I'll make sure to thumbs up if it's on paper.
Transcribed Image Text:19. A small windmill has its centre 6 m above the ground and blades 4 m in length. Ms. Panacci's
cat Theo is stuck on one of the blades and holding on for dear life! His paws are holding on at
point P. In a steady wind, Theo makes one complete rotation in 12 seconds.
a) Assuming that point P starts at its lowest possible position, sketch the height vs. time graph
that models one full rotation of poor Theo (point P)
b) Determine an equation that models the relationship between the height (y) of point P above the ground, in metres, at
time (x), in seconds.
c) If the blade makes two full rotations, at what time(s) is point P exactly 8 m above the ground? Solve algebraically.
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