A hypothetical pulse is travelling along positive x direction on a taught string. The speed of pulse is  $10\text{ cm/s}$  and shape of pulse at  $t=0$ is given as
 $y=\frac{x}{6}+1$  for  $-6\le x\le 0$
  $=-x+1$   for  $0\le x<1$
$=0$   for all other value of x
If x and y are in cm, then

Vertical displacement of the particle at $x=1\text{ cm}$ at $t=0.2\text{ s}$  is  $\frac{4}{3}\text{ cm}$

Transverse velocity of the particle at $x=1\text{ cm}$  at $t=0.2\text{ s}$   is  $\frac{4}{3}\text{ cm}/\text{s}$

Vertical displacement of the particle at  $x=1\text{ cm}$ at $t=0.2\text{ s}$  is  $\frac{5}{6}\text{ cm}$

Transverse velocity of the particle at $x=1\text{ cm}$  at $t=0.2\text{ s}$  is  $-\frac{5}{3}\text{ cm}/\text{s}$