18 It is given that two points \(A\) and \(B\) have position vectors
$$\overrightarrow { O A } = \left[ \begin{array} { c }
5
- 1
\end{array} \right] \text { metres } \quad \text { and } \quad \overrightarrow { O B } = \left[ \begin{array} { c }
13
5
\end{array} \right] \text { metres. }$$
18
- Show that the distance from \(A\) to \(B\) is 10 metres.
[0pt]
[3 marks]
18 - A constant resultant force, of magnitude \(R\) newtons, acts on a particle so that it moves in a straight line passing through the same two points \(A\) and \(B\)
At \(A\), the speed of the particle is \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) in the direction from \(A\) to \(B\)
The particle takes 2 seconds to travel from \(A\) to \(B\)
The mass of the particle is 150 grams.
Find the value of \(R\)