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 \vec{d}_{t}=400 \mathrm{~m}\mathrm{~s} \\)

Explanation:

Step1: Analyze the displacement vectors

Let the north - ward displacement \(\Delta\vec{d}_1 = 200\space m[N]\) and the south - ward displacement \(\Delta\vec{d}_2=600\space m[S]\). Assume the north direction as positive \(y\) - axis and south as negative \(y\) - axis.

Step2: Calculate the total displacement

The formula for the total displacement \(\Delta\vec{d}_T=\Delta\vec{d}_1+\Delta\vec{d}_2\). Substituting the values (taking \(N\) as \(+ y\) and \(S\) as \(-y\)), \(\Delta\vec{d}_T=(200 - 600)\space m\).

Answer:

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