At time $t = 0$, particle $A$ starts moving from $O$ at a constant speed of $10$ m/s in the

Question

At time $t = 0$, particle $A$ starts moving from $O$ at a constant speed of $10$ m/s in the direction $60^\circ$ above the $x$-axis; Express the velocity of particle $A$ in the form of a column vector. Find, in terms of $t$, the position vector of particle $A$ at time $t$. At time $t = 0$, particle $B$ starts moving from the point with coordinates $(2\sqrt{3}, 9)$ at a constant speed $\frac{5}{3}$ m/s in the positive $x$ direction. Find, in terms of $t$, the position vector of particle $B$ at time $t$. Hence show that the particles collide.

Accepted Answer

(a) $\left( \begin{matrix} 5 \ 5\sqrt{3} \ \end{matrix} \right)$ (b) $\left( \begin{matrix} 5t \ 5\sqrt{3}t \ \end{matrix} \right)$ (c) $\left( \begin{matrix} 2\sqrt{3}+\frac{5}{3}t \ 9 \ \end{matrix} \right)$

Vectors - Applications of Vectors

Vectors - Applications of Vectors