A \(35-\mathrm{kg}\) child stands on the edge of a playground merrygo-round that has a radius of \(2.0 \mathrm{~m}\) and a rotational inertia of \(500 \mathrm{~kg} \cdot \mathrm{m}^{2}\). The merry-go-round has a rotational speed of \(0.20 \mathrm{~s}^{-1}\) when the child is standing still. If the rotational speed increases to \(0.25 \mathrm{~s}^{-1}\) when the child starts walking along the edge, with what speed is he walking in the reference frame of the merry-goround, and in which direction?