Question

Amy runs 2 miles west, then turns and runs 3 miles north. What is her

displacement?
A. 3.6 mi
B.1.0 mi
C.5.0 mi
F. O mi

Answer 1

Amy's displacement after running 2 miles west and 3 miles north is approximately 3.6 miles, as calculated using the Pythagorean theorem.

Step-by-step explanation:

When considering Amy's run first going 2 miles west and then 3 miles north, her displacement can be calculated using the Pythagorean theorem because her movement represents two sides of a right-angled triangle. To calculate the displacement, we square the distances traveled in each direction and then take the square root of their sum:

Displacement = √(22 + 32) = √(4 + 9) = √13 ≈ 3.6 miles.

Therefore, her displacement is approximately 3.6 miles. This value represents the magnitude of her displacement, which is the straight-line distance from her starting point to her final position.