How Far? distance: –symbol: d –units: meters displacement: –symbol: –units: meters How far an object has traveled Is a “vector” quantity How far an object is from it’s initial position A vector quantity has magnitude AND direction A plain, old quantity is called a SCALAR position: symbol: x The location of an object

Our first Equations!!! Displacement is the difference between an object’s initial position and where it winds up. –We’ll call initial position: –So we’ll call final position: –Therefore,

Motion Intro Speed- The rate of distance traveled over time symbol: v units: Velocity- the rate of displacement done over time the rate of change in position over time symbol: units:

At the end of the stomper lab there were two graphs Motion Graphs The blue graph, of the stomper car going forward, has a positive slope The red graph, of the car going backward, has a negative slope Slope has the same value, just opposite sign So, is the slope of a position vs. time graph speed, or velocity?

Motion Maps You made one in the Stomper Car Lab: –It shows the position of an object in motion at equal time intervals 0 sec 1 sec2 sec3 sec4 sec5 sec 1.Label your position marks, starting with 0 s (we’ll assume time in seconds) 2.Draw an arrow (velocity vector) from one position to the next 3.Label that 1 st vector as v 1 4.Repeat for following velocities v1v1 v2v2 v3v3 v4v4 v5v5

Handy Advice 1.Take our velocity equation 2.Substitute in for displacement 3.Solve for “x f ”