Calculating how fast something is moving and where it is can seem tricky at first. But once you learn some basic math tools, it gets easier. Here’s a simple breakdown of what you need to know:

1. Vector Algebra: This is all about adding and subtracting vectors. Vectors are like arrows that show direction and speed. You’ll often use position vectors (where something is) and velocity vectors (how fast it's moving).

2. Coordinate Systems: It's important to understand different ways to look at movement. There are different frames of reference, like inertial (where things move regularly) and non-inertial (where things might shake or spin). Knowing these helps you understand motion better.

3. Relative Velocity Formulas: The speed of one object compared to another can be figured out with this formula:
   $\vec{v}_{AB} = \vec{v}_A - \vec{v}_B$
   This means to find out how fast object A is moving compared to object B, you subtract their speeds.

4. Kinematic Equations: These are useful formulas to find out where something is over time. For example, the equation $s = ut + \frac{1}{2}at^2$
   helps you calculate position based on initial speed and acceleration, which is crucial for understanding how things move.

With practice, these tools will become really easy to use!