During the cold winter months, an office building is partially heated by extracting thermal energy stored in soil beneath the building using a heat pump. During the summer, the building is partially cooled by sending thermal energy to the same soil with an air conditioner. The heat pump-air conditioning system creates a periodic soil surface temperature variation \(T(0, t)\) characterized by an amplitude of \(\Delta T=30^{\circ} \mathrm{C}\). Determine the thermal penetration depth within the soil and the maximum soil surface heat flux.