Question

What are the speed of the particles present at $x=3.0cm$, $5.0cm$ and $7.0cm$ at $t=0.01s$ ?

Answer 1

For a wave given by $y=Asin(kx-\omega t)$,

Velocity of particles is given by $\frac{dy}{dt}=-A\omega cos(kx-\omega t)$

Thus the velocity of the particle is $v(x,t)=-\frac{\pi }{10}cos\pi [\frac{x}{2.0cm}-\frac{t}{0.01s}]$

Putting the values of x and t in the above equations gives, $v(3cm,0.01s)=0m/s$

$v(5cm,0.01s)=0m/s$

$v(7cm,0.01s)=0m/s$