QUESTION $1$

Consider the system shown below that has a Cartesian Oxy coordinate system fixed at A where the $x-$axis is horizontal and the $y-$axis is vertical.

For the above system determine the following information clearly showing all steps and appropriate reasoning:

$1\mathrm{.}1$ Determine the velocity vector of $B$ relative to $C$ at the instant that $=37$ and $=53$;

$1\mathrm{.}2$ Determine and tabulate the corresponding $x$ and $y$ values of $C$ and $B$ for $in[37,48,53]$ at these positions;

Total Marks:

$15$