A ferris wheel is built that the height h (IN FEET) above ground of a seat on the wheel at the time t(IN MINUTES) can be modeled by: h(t)=53+50sin[ (pi/16)(T)-(pi/2)]
The wheel makes one revolution every 32 seconds. The ride begins when t=0.
A) During the first 32 seconds of the ride, when will a person on the ferris wheel be 53 feet above ground?
B.) When will a person be at the top of the ferris wheel for the first time during the ride? If the ride lasts 160 SECONDS, How many times will a person be at the top of the ride, and and what times? (Hint use a calculator)
Please show work! Thanks for your help! :)))
The wheel makes one revolution every 32 seconds. The ride begins when t=0.
A) During the first 32 seconds of the ride, when will a person on the ferris wheel be 53 feet above ground?
B.) When will a person be at the top of the ferris wheel for the first time during the ride? If the ride lasts 160 SECONDS, How many times will a person be at the top of the ride, and and what times? (Hint use a calculator)
Please show work! Thanks for your help! :)))
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A) They will be 53 feet above the ground at t=8 seconds.
B) They will be at the top of the ferris wheel at t=16 seconds and they will be 103 feet above the ground. They will be at the top of the ride 5 times total at the times 16 seconds, 48 seconds, 80 seconds, 112 seconds and 144 seconds.
B) They will be at the top of the ferris wheel at t=16 seconds and they will be 103 feet above the ground. They will be at the top of the ride 5 times total at the times 16 seconds, 48 seconds, 80 seconds, 112 seconds and 144 seconds.