A wave along a stretched string is given by

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

Problem

y(x,t)=0.05\sin(4\pi x-200\pi t+\frac{\pi}{6})

, where

x

is in metres and

t

in seconds. (i) Write the expression for the particle velocity

v_p(x,t)

. (ii) For the particle at

x=0.25\,\text{m}

, determine the smallest positive time after

t=0

when its displacement first reaches the maximum positive value.