A $1m0\mathrm{.}5m$ solar panel is placed on the roof of a house to collect solar energy. At noon time, the sun strikes horizontal ground at the right angle with an intensity of $1250\frac{W}{m^2}.$ Assume all the energy intercepted by the panel is absorbed$.$ Calculate the rate of energy absorbed by the solar panel if the angle between the roof and the ground is $0,90,$ and $45$ degree.

Case $1$: $q=$

Case $2$: $q=$

Case $3$: $q=$

Write the general expression of heat flow $($rate of energy absorption$)$ q in terms of surface area, heat flux, and the angle between the heat flux and the surface.