Problem # $2(12$ Marks$)$:

The car A has a speed of $2\mathrm{.}5\frac{m}{s}$ and accelerating at $1\mathrm{.}5\frac{m}{s^2}($both to the left as shown above$).$ Observer B rides in a non$-$rotating chair on the Ferris wheel. The angular velocity $($magnitude and direction$)$ and angular acceleration $($magnitude and direction$)$ of the wheel are shown on the figure above.

Based on the $x-y$ coordinate system shown in the figure above, find the following:

Velocity of A with respect to observer B $($as a vector and magnitude and direction$)$

Acceleration of A with respect to observer B $($as a vector and magnitude and direction$)$