A sound wave travelling in the negative -direction is represented by

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

A sound wave travelling in the negative

x

-direction is represented by

y(x,t)=3.0\sin(500t-1.5x+30^{\circ})

, with

y

in millimetres,

x

in metres and

t

in seconds. Calculate the instantaneous velocity of the particle at

x=2.0\,\text{m}

and

t=4.0\times10^{-3}\,\text{s}

. Give your answer in

\text{mm\,s}^{-1}