I can do the Ferris Wheel type. This one I can not solve.
A light is attached to a 13 inch radius bicycle tire, at a point 8 inches from the center. If Harvey rides the bike at 15 mph, how fast is the light moving up and down at its fastest?
Calc-math - Steve, Wednesday, December 5, 2012 at 11:50am
If I've done my conversion properly
15 mi/hr = (15*5280*12)/(13*3600) = 264/13 rad/s
so, the height of the point is
y = 8sin(2pi/(264/13) t)
so, when is the velocity fastest?
v = y', so v is max where y''=0.