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?

Answer 1

To determine Aliyah's net displacement after her driving, we can analyze her movement step by step.

1. She drives **210 meters north**. This can be represented as +210 meters (considering north as positive direction).

2. She then drives **370 meters south**. This can be represented as -370 meters (considering south as negative direction).

Now, we can calculate her total displacement:

\[
\text{Total displacement} = \text{Distance north} + \text{Distance south}
\]
\[
\text{Total displacement} = +210 \, \text{meters} - 370 \, \text{meters}
\]
\[
\text{Total displacement} = 210 - 370 = -160 \, \text{meters}
\]

The negative result indicates that her net position is 160 meters south of her starting point.

Thus, we can summarize her movement with the following equations:

1. Net Displacement:
\( D = 210 - 370 = -160 \) meters

2. Position with respect to starting point:
\( \text{Position} = \text{Initial position} + D \)

Assuming the initial position is 0, her final position would be:
\( \text{Final Position} = 0 - 160 = -160 \) meters

These equations accurately represent Aliyah's driving scenario. Let me know if you need more specific equations or if there's a particular form you're looking for!