In this work, we compare the advection of floating plastic debris using the Geophysical Maxey-Riley formulation to those using the Lagrangian and Leeway formulations. We report on the first estimates of how inertial size affects the fate of floating debris and the average arrival times at the shore and ocean boundaries for land-based floating plastics washed into Moreton Bay, a semi-enclosed tidal embayment, southeast Queensland. The results indicate that inertia can contribute up to 30% difference in the fate of small macro-plastics floating in the air-water interface. The impact of inertia reduces with large-sized particles. The results suggest that large plastics >> 0.1 m may be realistically advected using the Leeway formulation.