When you toss a stone into the pond you then see a wave "packet" that moves out with speed v_pack. This wave packet is as per the attached image. The peaks of the waves inside the wave packet all move with the same speed that is twice as fast as the packet itself v_waves = 2 * v_pack. Notice how the waves inside the packet are small at the ends of the packet and large in the middle. This explains why, when sitting on the dock of a lake and a boat goes by, the noise of the waves hitting the dock start soft build up loudly and then goes soft again.
Dropping a bigger stone into the water will only make the amplitudes of the waves larger. However, because water is a dispersive medium (due to the viscosity and imperfections of the water) the speed of the wave will depend on its frequency and will slow down a bit as the envelope stretches (like someone pulling it apart at both end).
Ya waves are very hard to pin down and, although look quite graceful, the mathematics can be tough.
