Galilean transformation

The Galilean transformation is a way of looking at things when you move from one place to another. If you are sitting in a car and you look outside, everything seems to be moving past you. If you move your car, everything still moves past you, but then in a new place.

The Galilean transformation says that if you move from one place to another, the things you see don't change as long as you move at a constant speed. So, if you are in a car moving along a straight road, and there are no bumps or turns, you will see the same buildings, trees, and people that you would see if you were standing still.

But if you start to go faster, or if you turn, you will see things differently. The faster you go or the sharper the turn, the more different the things you see will be. This is because the Galilean transformation only works when you are moving at a constant speed in a straight line.

To understand it better, imagine that you are playing with toy cars. You have one car, and it is moving along a track. You can see the car moving along the track, and you can see the surrounding scenery. Now, imagine that you pick up the track and move it somewhere else. If you move the track slowly and steadily, the car won't look any different. But if you move the track quickly or jerk it around, the car will look like it is jumping or moving strangely.

So, the Galilean transformation is a bit like moving a toy car along a track. If you move steadily and smoothly, the things you see will look the same. But if you move quickly or in a jerky way, the things you see will look different.