Trigonometry Question

Question

A surfer is riding a wave with an amplitude of 6 feet and a period of 24 feet. If the wave completes a period in 8 seconds, what is the speed of the surfer? 

A. 192ft/s

B. 24ft/s

C. 3ft/s

D. (1/3)ft/s

Answer 1

This looks like a speed = frequency * wavelength problem. Period T = 8 sec, so f = 1/T = 1/8. The "period" of the wave must mean a wavelength of 24 ft. So speed = (1/8) * (24) = 3 ft/sec.