For a certain transverse standing wave on a long string, an antinode is formed at x = 0 and next to it, a node is formed at x = 0.10m. The displacement y(t) of the string particle at x = 0 is shown in the figure.

Transverse displacement of the particle at x = 0.05m and t = 0.05s is $–2\sqrt{2}$ cm.

Transverse displacement of the particle at x = 0.04 m and t = 0.025s is $–2\sqrt{2}$ cm

Speed of the travelling waves that interfere to produce this standing wave is 2m/s.

The transverse velocity of the string particle at x =  $\frac{1}{15}$ m at t = 0.1 s is 20 $\pi$ cm/s