(20pts) Air T[infinity] = 10 °C and u[infinity] = 100 m/s flows over a flat plate. Assume that the density of air is 1.0 kg/m3 and the dynamics viscosity is 1.8 ×10-6 kg/m∙s. (a) Determine the velocity boundary layer thickness at, δ at x = 2 m (x indicates the distance from the leading edge of the plate). (b) Determine local friction coefficient at x = 2 m. (c) Determine the Nusselt number at x = 2 m. Assume that the velocity boundary layer thickness is the same as the thermal boundary layer thickness (δ = δT).