Question

practice

1. fred is going to visit a friend but he needs to stop at the variety store first. he walks 200 mn from his home to the store and then 600 ms to his friends house.

(a) sketch a vector diagram of the situation showing:
(i) the displacement vectors and
(ii) the total displacement vector.
(b) what is freds total displacement?
(b) \\( \delta d _ { t } = 400 m s \\)
vector diagrams

Explanation:

Step1: Define displacement vectors

Let north be positive. Then \(\Delta\vec{d}_1 = 200\,\text{m}\,\text{[N]}=+ 200\,\text{m}\), \(\Delta\vec{d}_2=600\,\text{m}\,\text{[S]}=-600\,\text{m}\)

Step2: Calculate total displacement

The total displacement \(\Delta\vec{d}_T=\Delta\vec{d}_1+\Delta\vec{d}_2\)

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Since \(-400\,\text{m}\) means \(400\,\text{m}\) in the south direction.

Answer:

\(\Delta\vec{d}_T = 400\,\text{m}\,\text{[S]}\)