(c) In a region of the channel a sluice gate is installed with an aperture a = 0.5m and a contraction
coefficient (of the vena contracta) of 0.6: (i) calculate the flow depth upstream the sluice gate (y); [points: max 2.5] (ii) calculate the flow depth downstream the sluice gate (2); [points: max 2.5] (iii) calculate the velocity and the Froude number for y₁ [points: max 2.5] (iv) calculate the velocity and the Froude number for y₂ [points: max 2.5]