Hi, I'm not sure how to approach this question.
Q: A Ferris wheel has a diameter of 56m, and one revolution took 2.5 min to complete. Riders could see Niagara Falls if they were higher than 50m above the ground. Sketch cycles of a graph that represents the height of a rider above the ground, as a function of time, if the rider gets on at a height of 0.5m at t=0 min. Then determine the time intervals when the rider could see Niagara Falls.
I have the graph sketched and the resulting function I got is y= 28sin(4pi/5(x+pi/2))+28.
If a rider gets on at 0.5m at t=0, the equation would be y=28sin(4pi/5(x+pi/2))+28.5?
Where do I go from here? Can someone please show me what I have to do?
The answers are: 0.98min<t<1.52min, 3.48min<t<4.02min, 5.98min<t<6.52min.