Question

Aliyah is driving up and down a street, looking for a parking spot. She drives 210 meters north, then turns around and drives 370 meters south. Which of the following equations are accurate?

a. d=-580 m
b. d→= -160 m
c. d=-160 m
d. d=580 m
e. d→= 580 m
f. d→= 160 m

Answer 1

Aliyah's displacement after driving 210 meters north and then 370 meters south is 580 meters south, which corresponds to option d. d=580 m. Option D is correct.

Step-by-step explanation:

The question requires us to calculate displacement based on Aliyah's movements north and south. Displacement is a vector quantity, which means it has both magnitude and direction. When Aliyah drives 210 meters north and then 370 meters south, her overall displacement is the difference between these distances in a specified direction.

Since south is generally considered the negative direction in this context, we calculate Aliyah's displacement as:

Displacement = Final Position - Initial Position

Displacement = (210 m north) - (370 m south)

Since south is the negative direction, this becomes Displacement = 210 m - (-370 m) = 210 m + 370 m

Displacement = 580 m south, because she ends up south of where she started

This matches option d. d=580 m. The other listed options either incorrectly represent the direction of displacement or calculate the wrong magnitude.