Verified answer

₊ଘ﹕Answers ⸝⸝

a. The total length of a man and a woman traveled is equal to 25 meters.

b. The total displacement they traveled is equal to 12 meters.

c. I noticed that the distance and displacement are not equal to each other; the distance traveled by the people is larger than their displacement.

d. If they go back to their house, their total distances would be equal to 50 meters and their displacements would be equal to 0 meters.

₊ଘ﹕Explanation ⸝⸝

⎯ Part A ⎯⎯⎯⎯⎯⎯⎯

• The terms "total length" indicate that we must find the distance traveled of the two people.

• To solve for the total distance, all we have to do is add the lengths that they walked (15 meters and 10 meters).

SOLVING FOR THE DISTANCE:

D = L₁ + L₂

D = 15 + 10

D = 25

⎯ Part B ⎯⎯⎯⎯⎯⎯⎯

• Displacement refers to the shortest length between the starting point (also called origin) and ending point (also called destination).

• To solve for the displacement of the man and the woman, all we have to do is look at the figure and identify which line directly connects the origin and the destination together (12 m).

⎯ Part D ⎯⎯⎯⎯⎯⎯⎯

• This part is asking for the total distance of the people going from their house to the park and back.

• All we have to do is add the lengths twice or multiply the distance that we got in Part A by 2. Either way, we should end up with the same answer.

• The displacement becomes 0 because they go back to their initial starting point (their house).

SOLVING FOR THE DISTANCE:

D = L₁ + L₂ +  L₂ +  L₁

D = 15 + 10 + 10 + 15

D = 50

or

D = first D × 2

D = 25 × 2

D = 50

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