Question

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Explanation:

Step1: Identify directions and magnitudes

The dog moves 15 m north, 6 m south, then 8 m north. Let's take north as positive and south as negative. So the displacements are \( +15\,\text{m} \), \( -6\,\text{m} \), and \( +8\,\text{m} \).

Step2: Sum the displacements

Add the magnitudes with their signs: \( 15 - 6 + 8 \). First, \( 15 - 6 = 9 \), then \( 9 + 8 = 17 \). Since the result is positive, the direction is north.

Answer:

The total displacement is \( 17\,\text{m} \) north.