Question

3 feet, because three inches is too little and six feet would mean a different floor of the building entirely.

a) True
b) False

Answer 1

The displacement of the first person will be more than the displacement of the second person.

Step-by-step explanation:

The displacement of the first person will be more than the displacement of the second person.

To determine the displacements, we can break down the distances traveled by each person into horizontal and vertical components. The first person walks 2 blocks east and 5 blocks north, so their displacement is the vector sum of 2 blocks east and 5 blocks north. The second person walks 5 blocks north and then 2 blocks east, so their displacement is the vector sum of 5 blocks north and 2 blocks east.

Since displacement is a vector quantity, we can use the Pythagorean theorem to calculate the magnitude of the displacement of each person. The magnitude of the displacement of the first person is √(2^2 + 5^2) = √29 blocks, and the magnitude of the displacement of the second person is √(2^2 + 5^2) = √29 blocks. Therefore, the displacements of both persons are equal, and the statement is False.