to find the total distance traveled. FACT: FACT: 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 ≤ π /2. So to find the total distance traveled, I will have two integrals.
Why is displacement different from distance?
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Is the total distance equal to the total displacement?
This artificial example shows that distance and displacement have the same size only when we consider small intervals. Since the displacement is measured along the shortest path between two points, its magnitude is always less than or equal to the distance.