A merry-go-round, starting from standstill, begins to turn with constant angular acceleration \(\dot{\omega}=0.1 \mathrm{rad} / \mathrm{s}^{2}\). An observer is at rest at a distance \(R=3 \mathrm{~m}\) from the axis of rotation and at instant \(t_{1}=6 \mathrm{~s}\) begins to move radially toward the center with velocity \(v_{r}=1.0 \mathrm{~m} / \mathrm{s}\). Determine the magnitude of the Coriolis acceleration and total acceleration on the observer at instant \(t_{1}\).