A $10-kg$ block slides down a smooth inclined surface as shown in Fig. below. Determine the terminal velocity of the block if the $0\mathrm{.}1-mm$ gap between the block and the surface contains engine oil at $77F($see Table A$-7,$ "Cengel & Cimbala, $2014").$ Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is $0\mathrm{.}1m^2.$

$(25$ pts$)$

a$.,0\mathrm{.}0883\frac{m}{s}$

b$.0\mathrm{.}0071\frac{m}{s}$

c$.0\mathrm{.}0188\frac{m}{s}$