3. A Ferris wheel with a diameter of 140 meters is revolving in the biggest theme park in the world. The highest point of this Ferris wheel is 145 meters high! As the wheel is spinning, a skydiver named Joe drops onto the Ferris wheel where it is ascending 75 meters from the ground. The partial equation for the function is h(t) = 70 sin(kt) + 75 a. Suppose the Ferris wheel spins at a rate of 2 cycles every 180 seconds. Determine the value of K for the equation above. b. Using your completed equation, determine how high up Joe would be after 50 seconds, to the nearest metre.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A Ferris wheel with a diameter of 140 meters is revolving in the biggest theme park in the world. The highest
point of this Ferris wheel is 145 meters high! As the wheel is spinning, a skydiver named Joe drops onto the
Ferris wheel where it is ascending 75 meters from the ground. The partial equation for the function is
h(t) = 70 sin(kt) + 75
a.
Suppose the Ferris wheel spins at a rate of 2 cycles every 180 seconds. Determine the value of K for
the equation above.
b. Using your completed equation, determine how high up Joe would be after 50 seconds, to the
nearest metre.
Transcribed Image Text:3. A Ferris wheel with a diameter of 140 meters is revolving in the biggest theme park in the world. The highest point of this Ferris wheel is 145 meters high! As the wheel is spinning, a skydiver named Joe drops onto the Ferris wheel where it is ascending 75 meters from the ground. The partial equation for the function is h(t) = 70 sin(kt) + 75 a. Suppose the Ferris wheel spins at a rate of 2 cycles every 180 seconds. Determine the value of K for the equation above. b. Using your completed equation, determine how high up Joe would be after 50 seconds, to the nearest metre.
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