Question

Callie rode her bike from the tree at point A back to her house to pick up her jacket while Sue road her bike directly from the tree at point A to the tree at point C, where the girls planned to go hiking. Which of the following statement is true?
A) Displacement for both girls was the same.
B) Callie had a bigger displacement than Sue
C) Sue had a bigger displacement than Callie
D) The girls traveled the same distance.

Answer 1

B

We can perceive this question as a vector (which has both magnitude and direction). The magnitude is the displacement and the direction is where they are headed.

Explanation:

The displacement (magnitude of the vector) for Callie, which is also equal to the distance, is; 4m + 3m = 7m while that of Sue is 5m. Therefore the displacement for Callie is greater than Sue’s.

Nonetheless the direction in the vector is the same, which is towards point C.

Learn More:

For more on vectors;

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Answer 2

Answer:

B) Callie had a bigger displacement than Sue

Explanation:

Callie rode her bike from the tree at point A to her house and then to the tree at point C. From the picture, we can see that's a trip of 4 + 3 = 7 meters.

Sue rode her bike directly from the tree at point A to the tree at point C. From the picture, we can see that's a trip of 5 meters.