[Math] Ferris Wheel Problem

algebra-precalculus

One of the largest ferris wheel ever built is in the british airways london eye which was completed in 2000. The diameter is 135 m and passengers get on at the bottom 4 m above the ground. The wheel rotates once every three minutes.

a) Draw a graph which represents the height of a passenger in metres as a function of time in minutes.

b) Determine the equation that expresses your height h as a function of elapsed time t

c) How high is a passenger 5 minutes after the wheel starts rotating?

d) How many seconds after the wheel starts rotating is a passenger 85 m above the ground
for the first time. Answer to the nearest tenth.

Please help me solve this equation and try and making to as clear as possible my solution lacks.

Best Answer

Your solution is on the right track. The question asks you to use time in minutes, so you should not convert to seconds. In that case $\omega=\frac {2\pi}3$ That changes your constant $45$ as well.

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