A driveway (density 2115 kg/m3 , conductivity 0.062 W/m K, specific heat 920J/kg K) initially at a uniform temperature of 55C, was hosed to suddenly bring its surface to 25C, and maintain at that temperature. a. Give a rough sketch of how the temperature will vary with depth at 3 different time instants after the hose was turned on indicating the surface temperature and the temperature far below the surface in the sketch. b. Estimate the temperature at a depth 3 cm below the surface after an hour, clearly stating the assumptions that underlie your solution. c. At that time instant (after an hour) what will be the heat flux at the surface and in which direction