A block \(0.1 \mathrm{~m}\) square, with \(5 \mathrm{~kg}\) mass, slides down a smooth incline, \(30^{\circ}\) below the horizontal, on a film of SAE 30 oil at \(20^{\circ} \mathrm{C}\) that is \(0.20 \mathrm{~mm}\) thick. If the block is released from rest at \(t=0\), what is its initial acceleration? Derive an expression for the speed of the block as a function of time. Plot the curve for \(V(t)\). Find the speed after \(0.1 \mathrm{~s}\). If we want the mass to instead reach a speed of \(0.3 \mathrm{~m} / \mathrm{s}\) at this time, find the viscosity \(\mu\) of the oil we would have to use.