Motion depends on the point of reference. Distance is the total path traveled, regardless of direction, while displacement considers the direction and is the net distance between the starting and ending points. Speed is the distance traveled per unit time while velocity is the rate of change of an object's displacement and includes both magnitude and direction. Acceleration is the rate of change of velocity and can be calculated using the formula a=(v-u)/t, where a is acceleration, v is final velocity, u is initial velocity, and t is time. Motion can be analyzed using graphs of displacement-time and velocity-time. The slope and area under the curves provide information about an object's speed, velocity, and acceleration over time.