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Answer :
Final answer:
The distance traveled by the person is 19.00 m, and their displacement is 7.00 m east.
Explanation:
Distance is a scalar quantity that refers to the total length traveled, while displacement is a vector quantity that represents how far an object is from its starting point in a straight line. To find the person's distance, we add up the magnitudes of all the displacements: 12.0 m + 5.00 m + 2.00 m = 19.00 m. To find the person's displacement, we need to determine the magnitude and direction of the vector sum of the individual displacements. In this case, the person walks 12.0 m east and then goes 5.00 m west, resulting in a net displacement of 12.0 m - 5.00 m = 7.00 m east.
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Step-by-step explanation:
Given that,
A person walks 12.0 m east, then turns and goes 5.00 m west, then turns and goes back 2.00 m east.
(a) Distance is equal to total path covered during the entire journey.
Distance = 12 + 5 +2
Distance = 19 m
(b) The shortest path covered is equal to the shortest path traveled. Let east is positive and west is negative. So,
Displacement = 12 +(-5) +2
Displacement = 9 m
