Physics

Problem

t = 0

, the displacement profile of a wave on a string is

y = 0.05\sin\!\left(\dfrac{2\pi}{0.50}x\right)

. At

t = 0.010\,\text{s}

the profile is

y = 0.05\sin\!\left(\dfrac{2\pi}{0.50}(x - 0.080)\right)

. Which pair of values for speed (

v

) and frequency (

f

) is correct? a)

v = 4\,\text{m\,s}^{-1},\;f = 8\,\text{Hz}

v = 8\,\text{m\,s}^{-1},\;f = 16\,\text{Hz}

v = 12\,\text{m\,s}^{-1},\;f = 24\,\text{Hz}

v = 8\,\text{m\,s}^{-1},\;f = 32\,\text{Hz}