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Homework Help: Can someone check my work on word problem

  1. Jul 18, 2010 #1
    In 1893, George Ferris engineered the Ferris Wheel. It was 250 feet in diameter. If the wheel makes 1 revolution every 50 seconds, then

    h(t) = 125sin (pi/25t - pi/2) + 125

    represents the height (h), in feet, of a seat on the wheel as a function of time (t), where t is measured in seconds. The ride begins when t = 0.


    a.) During the first 50 seconds of the ride, at what time (t) is an individual on the Ferris Wheel exactly 125 feet above the ground?


    attempt

    125 = 125 sin pi(t/25 - 1/2) + 125, which is equivalent to

    0 = sin pi(t/25 - 1/2)
    pi(t/25 - 1/2) = k(pi), k an integer
    t/25 - 1/2 = k
    t/25 = k + 1/2
    t = 25 ( k + 1/2 )

    does this look right?
    can anyone tell me where i should go from here?
     
  2. jcsd
  3. Jul 18, 2010 #2

    ehild

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    Homework Helper

    Find all possible values of t<50 s.

    ehild
     
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