GOAL Find the sum of two vectors by using a graph. PROBLEM A car travels 20.0 km
ID: 2000518 • Letter: G
Question
GOAL Find the sum of two vectors by using a graph. PROBLEM A car travels 20.0 km due north and then 35.0 km in a direction 60.0 degree west of north, as in the figure. Using a graph, find the magnitude and direction of a single vector that gives the net effect of the car's trip. This vector is called the car's resultant displacement. STRATEGY Draw a graph and represent the displacement vectors as arrows. Graphically locate the vector resulting from the sum of the two displacement vectors. Measure its length and angle with respect to the vertical. Suppose two vectors are added. The sum of the magnitudes of the two vectors is equal to the magnitude of the resultant vector whenever the two vector are: (Select all the apply.) anti-parallel (in opposite directions) Of equal magnitude at 45 degree to each other Parallel (in the same direction) Perpendicular Graphically determine the magnitude and direction of the displacement if a man walks 60.0 km 45 degree north of east, and then walks due east 25.0 km.Explanation / Answer
Both Vectors are PERPENDICULAR
2)
A = 60 km and 45 degrees north of east
B = 25 km and due east from A
Resultant Magnitude is R = sqrt( 60^2+25^2+2*60*25*cos 45)
R = 79.66 km
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