
Distance
physical meaning, scalar or vector, defining equation (if any), units
 How far you go
 scalar
 no defining equation
 meters

Displacement
physical meaning, scalar or vector, defining equation (if any), units (linear, quadratic or constant with respect to time)
 how far you end up from the origin, including direction
 vector
 (x_{f}  x_{i})
 meters
 vertical position changes quadratically with time

speed
physical meaning, scalar or vector, defining equation (if any), units
 how fast you are going, not including direction
 scalar
 change in distance/time
 m/s

velocity
physical meaning, scalar or vector, defining equation (if any), units, (linear, quadratic or constant with respect to time)
 speed including direction
 vector
 (change in displacement)/time
 m/s
 vertical velocity changes linearly with time

acceleration
physical meaning, scalar or vector, defining equation (if any), units
 Speed of change of velocity, including direction
 vector
 (change in velocity)/time
 m/s^{2}

scalar
has only magnitude or size

vector
has magnitude and direction

free fall
when an object is subjected only to the force of gravity (dropped, thrown upward or thrown downward). a=g=9.8m/s^{2}

