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6. A Ferris Wheel with a radius of 20 m makes one complete revolution every 120 seconds. The bottom of the wheel is 5 m above the ground. a) Sketch a graph of the height of the passenger, as a function of time, starting when the passenger gets on the Ferris wheel at its lowest point. Draw one cycle and clearly label the five main points on the graph. b) Determine the equation of the sinusoidal function that expresses the passenger's height from the ground, in terms of time. Give both a sine and a cosine equation. (One equation should look like h(t) = asink(x - d) + c and the other equation should look like h(t) = acosk(x - d) + c.) h(t) = 20 sin 3(t - 30) + 25 h(t) = 20 cos 3t + 25 c) What is the height of the passenger 300 seconds after the passenger gets on the Ferris wheel?

          6. A Ferris Wheel with a radius of 20 m makes one complete revolution every 120 seconds. The bottom of the wheel is 5 m above the ground.

a) Sketch a graph of the height of the passenger, as a function of time, starting when the passenger gets on the Ferris wheel at its lowest point.

Draw one cycle and clearly label the five main points on the graph.

b) Determine the equation of the sinusoidal function that expresses the passenger's height from the ground, in terms of time. Give both a sine and a cosine equation. (One equation should look like h(t) = asink(x - d) + c and the other equation should look like h(t) = acosk(x - d) + c.)

h(t) = 20 sin 3(t - 30) + 25
h(t) = 20 cos 3t + 25

c) What is the height of the passenger 300 seconds after the passenger gets on the Ferris wheel?

6. A Ferris Wheel with a radius of 20 m makes one complete revolution every 120 seconds. The bottom of the wheel is 5 m above the ground.

a) Sketch a graph of the height of the passenger, as a function of time, starting when the passenger gets on the Ferris wheel at its lowest point.

Draw one cycle and clearly label the five main points on the graph.

b) Determine the equation of the sinusoidal function that expresses the passenger's height from the ground, in terms of time. Give both a sine and a cosine equation. (One equation should look like h(t) = asink(x - d) + c and the other equation should look like h(t) = acosk(x - d) + c.)

h(t) = 20 sin 3(t - 30) + 25
h(t) = 20 cos 3t + 25

c) What is the height of the passenger 300 seconds after the passenger gets on the Ferris wheel?

Added by Emilio G.

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