Suppose that the wheel of Problem 18 turns at a constant rate w = dθ/dt, where t
Question:
(a) Show that the speed ds/dt of P along the cycloid is
(b) When is the speed a maximum and when is it a minimum?
(c) Explain why a bug on a wheel of a car going 60 miles per hour is itself sometimes traveling at 120 miles per hour.
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