Question

23 a dog is running in the park. first, she runs 55 meters east, then 25 meters west, then 11 meters east. what is the dogs total displacement at the end?
91 meters east
41 meters east
41 meters west
91 meters west

Explanation:

Step1: Define positive and negative directions

Let east be positive and west be negative.

Step2: Calculate displacement

The dog's displacements are \(d_1 = + 55\) m (east), \(d_2=-25\) m (west), \(d_3 = + 11\) m (east).
The total displacement \(D=d_1 + d_2 + d_3\).
Substitute the values: \(D=(55)+(-25)+(11)\).
First, \(55-25 = 30\), then \(30 + 11=41\).

Answer:

41 meters east