Question

A boy starts from the origin, walks 75 m north turns east and walks 60 m. He then turns south and walks 175 m. Draw a vector diagram showing his displacements. Calculate the total displacement.

Answer 1

To find the total displacement, we can add the three displacement vectors together. The northward and southward displacements cancel each other out, leaving only the eastward displacement. The total displacement is 60 m east.

Step-by-step explanation:

To solve this problem, we need to draw a vector diagram showing the boy's displacements. First, we start from the origin and move 75 m north, giving us a northward displacement vector with a magnitude of 75 m. Then, we turn east and walk 60 m, giving us an eastward displacement vector with a magnitude of 60 m. Finally, we turn south and walk 175 m, giving us a southward displacement vector with a magnitude of 175 m.

To find the total displacement, we can add the three displacement vectors together. The northward displacement vector and the southward displacement vector cancel each other out, leaving us with only the eastward displacement vector. Therefore, the total displacement is 60 m east.