A point particle with mass $m = 2 \text{ kg}$ and charge $Q = 33 \text{ C }$ is shot with speed $v = 8 \text{ m/s}$ at an angle of $\theta = 30^o$ with the ground. There is an electric field $\vec{E} = -22 \hat{y}\text{ N/C}$ heading perpendicularly to the ground. When the particle falls to the ground, the distance from the original point can be expressed as $R = \frac{a}{b} \text{ m},$ where $a$ and $b$ are coprime positive integers, what is the value of $a+b?$

Assume that $\sqrt{3} = 1.5$ and there is no gravitational field.