Problem $11\mathrm{.}143-$ Normal and tangential components$-$relate to $x-y$ coordinates

A race car enters the circular portion of a track that has a radius of $67$ m $.$ When the car enters the curve at point $P,$ it is traveling

with a speed of $120k\frac{m}{h}$ that is increasing at $5\frac{m}{s^2}.$ Three seconds later, determine the $x$ and $y$ components of velocity and

acceleration of the car.

The $x$ component of the total acceleration is

$\frac{m}{s^2}.$

The $y$ component of the total acceleration is

$\frac{m}{s^2}.($Include a minus sign if necessary$)$

The $x$ component of the linear velocity is

$\frac{m}{s}.($Include a minus sign if necessary$)$

The $y$ component of the linear velocity is

$\frac{m}{s}.($Include a minus sign if necessary$)$