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!