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Using the diagram shown of theman walking from an initial position of 15m to a position of 50 m and then turning around and reachinga final position of 40m=

What is the distance the man walks?

What is the man’s displacement?

User Kunruh
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1 Answer

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Answer:

The distance man walked, d = 45 m

The man's displacement, D = 25 m

Step-by-step explanation:

Given,

The initial position of man, A = 15 m

The intermediate position of man, B = 50 m

The final position of man, C = 40 m

The distance is the linear path covered by the object. It is a scalar quantity and defined only by the magnitude.

Distance doesn't depend upon the initial and final position of the object. It matters only how long it traveled.

Total distance traveled by the man, from point A to B is

50 m - 15 m = 35 m

Traveling back from B to C is at a distance 40 m from the origin,

d = 35 m + 10 m

= 45 m

Therefore, the distance man walked, d = 45 m

The displacement is referred to as the initial and final position of the object. It is a vector quantity and doesn't care about the path the object traveled. It is has a magnitude and a definite direction.

The displacement from A to C

D = 40 m -15 m

= 25 m

Therefore, the man's displacement, D = 25 m

User Markratledge
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