The object is moving along a straight line with no curvature in its path, like driving a car in Corvallis downtown, third street.

We want to find a mathematical equation that is short, and accurate enough to describe any linear motion. Let’s start with the most simplest motion, moving with a constant speed. Like driving in a highway at a constant speed.

# Linear motion with a constant speed

For this category of motion (let’s call it, linear motion with a constant speed) there is an equation (mathematical model) that connects “the distance between initial and final location”, “the object speed between the initial and final location”, and “the time it takes to go from the initial to final location”. In words, this equation is:

“the distance between initial and final location” = “the object speed between the initial and final location” times “the time it takes to go from the initial to final location”

## Example 1

Let’s practice how to use this equation for a simple case, imagine you are driving your car with a constant speed of 65 miles per hour in I-5 from Albany, OR to PDX airport and it will take one hour for you to get there, so you know two out of the three variables of the equation. Then you can calculate the last one, “the distance between Albany, OR and PDX”. In this case, it will be 65 miles.