1. Derive the equation for gradient wind for Cyclonic flow and calculate the gradient wind for the same. Given, radius=30 km, f=104s¹, and geostrophic wind (V₂) = 42.1 m/s. 2. Calculate the geostrophic wind speed in m/s for a pressure gradient of 10 hPa/1000 km. Given: p = 1 kgm-3 and f = 104s¹¹. I 3. The mean temperature in the layer between 750 hPa and 500 hPa decreases eastward by 3°C per 100 km. If the 750 hPa geostrophic wind is from southeast at 20 ms¹, what is the geostrophic wind speed and direction at 500 hPa? Let f = 104s¹ and R = 287J deg-¹kg-¹.