Distance is the length of the path travelled. Displacement is the straight-line change of position from start to finish, with a direction. Speed uses distance; velocity uses displacement. Average velocity covers a whole time interval, while instantaneous velocity is the value at one moment, found as the interval is made very small.
Acceleration is the rate of change of velocity. On a velocity-time graph the gradient gives the acceleration and the area under the graph gives the distance covered. On a displacement-time graph the gradient gives the velocity.
When the acceleration is uniform, three equations link the five quantities. A body in free fall has a = g = 9.8 m s−2 downwards.