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A quarterback back pedals 2.2 meters southward and then runs 6.8 meters northward. What is the magnitude and direction of the displacement?

Sagot :

ANSWER

[tex]4.6m\text{ Northward}[/tex]

EXPLANATION

Displacement is the shortest distance between the final position and the initial position of a body.

Taking the southward direction to be the negative direction and the northward direction to be positive, to find the displacement, we have to add the distances traveled by the quarterback.

Therefore, we have:

[tex]\begin{gathered} D=-2.2+6.8 \\ D=4.6m \end{gathered}[/tex]

Since the displacement is positive, its direction is Northward.

Hence, his displacement is 4.6 m Northward.