Which property distinguishes between progressive and stationary waves?

When a string is stretched between two rigid supports,kept under a certain tension,and vibrated,what is the nature of the standing wave formed?

The transverse displacement of a string (clamped at its both ends) is given by $y(x,t) = 0.06 \sin(2\pi x / 3) \cos(120\pi t)$. All the points on the string between two consecutive nodes vibrate with

$A$ transverse displacement of a vibrating string is given by $y = 0.06 \sin \left( \frac{2 \pi}{3} x \right) \cos (120 \pi t)$. If the mass per unit length of the string is $4 \times 10^{-2} \ kg/m$,then the tension in the string will be: (in $N$)

Two progressive waves $Y_{1} = \sin 2\pi(\frac{t}{0.4} - \frac{x}{4})$ and $Y_{2} = \sin 2\pi(\frac{t}{0.4} + \frac{x}{4})$ superpose to form a standing wave. $x, Y_{1}$ and $Y_{2}$ are in $SI$ units. The amplitude of the particle at $x = 0.5 \ m$ is: (Given: $\sin 45^{\circ} = \cos 45^{\circ} = \frac{1}{\sqrt{2}}$)

In stationary waves,