Position, Velocity and Acceleration in one direction

So, what does baseball have to do with physics?  The force of the bat on the ball, the momentum of the runner rounding home, speed of the pitch, etc..... . But baseball is a perfect way describe the difference distance, displacement, position, velocity and acceleration.

Consider this, the home plate is the origin and the foul lines as the X and Y axis. The distance between plates is 90 feet (27.4 meters).  The position of the of the bases are; first base is 90 feet on the X axis (on the right field foul line); third base is 90 feet on the Y axis (on the left field foul line); the second base is at 90 feet on the X axis and 90 feet on the Y axis, now lets play ball.

Batter is up to the plate, it's a hit, an infield single. The displacement of the runner is 90 feet in the X axis ( a magnitude of 90 feet in the direction of the X axis).  The time it takes to reach first base is about 7 seconds, so the average speed would be 90/7  meters / seconds, or about 13 m/s.  The average velocity is 13 m/s in the x axis.

Tier 1

Tier 2

Tier 2

Tier 3

Falling Down an Incline Lab

Treasure Hunt

Xf  –  Xi = Displacement

Distance / Time = Speed

Displacement / Time = Velocity

DX / DT = Velocity

Vf  – Vi / Time = Acceleration

DV / DT = Acceleration

Xf = Final Position

Xi = Initial Position

DX = Change of Position

DT = Change in Time

Vf  = Final Velocity

Vi = Initial Velocity

DV = Change Velocity