"Math anxiety" is real; it is part of the English lexicon. This course will concentrate on concepts and ideas rather than equations and mathematics. However, our discussion of motion and our initial definitions will have some math and equations. It may even look "riddled with equations".
Please do not worry. After these basic definitions, the number of equations will greatly decrease. You will see more equations for this topic than for any other.
Displacement is the difference between the final position, xf, and the initial position, xi.
A displacement to the right will be a positive displacement. That is,
xi < xf .
For example, starting with xi = 60 m and ending at xf = 150 m, the displacement is
A displacement to the left will be a negative displacement. That is,
xi > xf .
For example, starting with xi = 150 m and ending at xf = 60 m, the displacement is
Positions to the right of the origin are positive.
Positions to the left of the origin are negative.
Distance is the absolute value of the displacement. Distance is always positive and tells how far something is from something else but does not tell us whether it is to the right or to the left.
Units are important in Physics (and in all of Science). In the lab, we will usually measure distance or displacement in units of meters (m). Distance or displacement could also be measured in centimeters (cm) or kilometers (km) or even miles (mi).