Two sinusoidal waves on a string are described by y_1=(1.5

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

Problem

Two sinusoidal waves on a string are described by

y_1=(1.5\,\text{cm})\sin\left(5\pi x-50\pi t\right),\qquad y_2=(1.5\,\text{cm})\sin\left(5\pi x-50\pi t+\frac{\pi}{2}\right),

where

x

is in meters and

t

in seconds. Calculate the instantaneous displacement of the string at

x=0.10\,\text{m}

and

t=0.015\,\text{s}