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.
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.
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.
