The shear wave velocity $($Vs$)$ profile that was measured at a site where a new building is to be constructed is plotted and tabulated below. The soil profile consists entirely of granular $($cohesionless$)$ soils over bedrock. The water table at the site is located at a depth of $30$ ft: $($a$)$ Calculate the Vs$30$ of the site at the ground surface. $($b$)$ What is the seismic site classification of this site according to the ASCE$-7-16$ Code. $($c$)$ Estimate the fundamental period of this soil profile. Show all calculations.