Okay kiddo, imagine you have a toy car and you push it on a long, straight track. The car will start moving and eventually reach a certain speed. This speed it reaches is called velocity.
Now, let's say you have a bunch of toy cars lined up one after the other on the track. If you push the first car, it will start moving and then bump into the car in front of it, causing that car to start moving too. This bump will create a wave that travels through all the cars on the track, causing them all to move in a chain reaction. This wave is called a propagation.
So, the velocity of propagation is simply the speed at which this wave of movement travels through the cars on the track. It's like the speed of a domino effect or a contagious yawn. When something moves and bumps into something else, it creates a wave of movement that spreads through the objects around it. The velocity of propagation is the speed at which this wave moves.
In science and engineering, the concept of velocity of propagation is used to understand how waves of energy or force travel through different materials or systems. It helps us predict how things like sound or electricity move through wires or how vibrations travel through solid objects.