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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.
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.
To determine the displacement of an object, you only have to consider the change in position between the starting point and the ending point. The path followed from one point to the other does not matter.
Distance and Displacement Practice—Solutions Calculate the DISTANCE and DISPLACEMENT of the following situations: 1. David walks 3 km north, then turns and walks 4 km east. Express your answer in kilometers. Distance = 3 km + 4 km = 7 km For the displacement, we will use the Pythagorean Theorem because David’s path makes a right angle.
This document contains examples of calculating distance and displacement from descriptions of object movement. Distance is the total path length traveled, while displacement is the straight-line distance from the starting point.
Example 1: Find the displacement and distance graph below. Example 2: Given. Analytically: Determine when the particle is moving to the right, to the left, and stopped. Find the particle's displacement for the given time interval. Find the total distance traveled by the particle.
The graph represents your motion in a straight line as you travel along a sidewalk. vector diagram to show how a series of individual displacements adds together to a net displacement. Figure 2.5 shows five separate displacements, which break your motion down into 10-second intervals.
