# Can someone check my work on word problem

• urthatarget
In summary, George Ferris created the 250-foot diameter Ferris Wheel in 1893, with a seat on the wheel represented by h(t) = 125sin (pi/25t - pi/2) + 125, where t is measured in seconds. An individual on the Ferris Wheel is exactly 125 feet above the ground during the first 50 seconds of the ride at times t = 25(k+1/2), where k is an integer. To find all possible values of t less than 50 seconds, solve for k and substitute into the equation.
urthatarget
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?

Find all possible values of t<50 s.

ehild

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