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Figure 2.1: Positions = +3 m and = –2 m, where the + and – signs indicate the direction. If an object moves from one position to another we say it experiences a displacement. Displacement: a vector representing a change in position. A displacement is measured in length units, so the MKS unit for displacement is the meter (m).
Distance is the actual path length that an object moves away from its original position. Distance is a scalar. We use the symbol d for distance. Displacement is the straight-line path between the starting point and the endpoint of a journey i.e. the distance moved in a particular direction. Displacement is a vector.
2-1 Position, Displacement, and Distance In describing an object’s motion, we should first talk about position – where is the object? A position is a vector because it has both a magnitude and a direction: it is some distance from a
EXAMPLE 1: Find the total distance traveled by a body and the body's displacement for a body whose velocity is v (t) = 6sin 3t on the time interval 0 t /2. SOLUTION: To find the distance traveled, we need to find the values of t where the function changes direction. To do this, set v (t) = 0 and solve for t.
v ave: average velocity (m/s) Δx or x : change in position or displacement (m) Δt or t : change in time or time (s) Δv : change in velocity (m/s) v i: initial velocity (m/s) v f: final velocity (m/s) a : acceleration (m/s2) (note: on many different equation sheets x is substituted by d for displacement) Variables (mks unit)
Help students learn the difference between distance and displacement by showing examples of motion. As students watch, walk straight across the room and have students estimate the length of your path.
Flipping Physics Lecture Notes: Introduction to Displacement and the Difference between Displacement and Distance. Displacement: The straight-line distance between the initial and final points. The symbol is Δx, where Δ means “change in” and x means “position”. The change in position of an object.
