A row of particles (a stretched string) is set oscillating. Each particle just moves up and down about its rest position, yet the crest pattern marches steadily to the right at the wave speed v = νλ. Watch the red particle bob in place while the wave travels through it. Slide the amplitude A and wavelength λ and see the shape and speed change.
A stretched string is a row of particles; the wave sets them oscillating up and down.
y(x,t) = A sin(kx − ωt) · k = 2π/λ · v = ω/k = νλ
A = — · λ = — · v = — units/s