Two waves on a stretched string are given by and

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

Two waves on a stretched string are given by

y_1=0.02\sin(4\pi x-200\pi t)\,\text{m}

and

y_2=0.02\sin(4\pi x+200\pi t)\,\text{m}

, where

x

is in metres and

t

in seconds. (i) Write the equation of the resultant standing wave. (ii) Determine the transverse velocity of the point at

x=0.05\,\text{m}

at the instant

t=0.002\,\text{s}

. Give your answer with appropriate units.