That doesn't seem to be the case, since leaves floating on the surface of the pond bob up and down as waves travel past, rather than being carried along by them. Instead, it seems to be only the disturbance, the oscillations of the surface, that travel. If fact, we could think of waves as traveling energy. We will consider in detail periodic waves traveling in media in which Hooke's law restoring forces act on displaced pieces of the medium. If we apply a periodic disturbance to such a medium, we produce sinusoidal waves traveling away from the source.
Waves travel with a fixed speed v through a given medium.
The wavelength of a periodic wave is the distance between adjacent points of maximum displacement of the wave. For example, the wavelength of a water wave is the distance between adjacent wave crests. If you observe a water wave traveling along the surface of a pond, the time it takes a single wavelength of the wave to pass a given point is the period T . The leaf bobs up and down periodically as the wave travels. The waves are sinusoidal in shape and move at constant speed, so the position of the leaf as a function of time is a sinusoidal function of time.