A piece of wood is at rest vertically in a pond, then a frog jumps onto the top of the wood and it starts to move up and

down in simple harmonic motion $($see diagram$).$

The wood oscillates with an amplitude $(A)$ of $10\mathrm{.}0cm$ from the equilibrium position, with a time period $(T)$ of $3\mathrm{.}0$

seconds for one complete oscillation. The mass of the frog is negligible compared to the mass of the wood.

How far from the surface of the water will the frog be after $10\mathrm{.}0$ seconds?