At the entrance to a water channel, the velocity is uniform with a velocity V. Further downstream the velocity profile is given by the function u = Ay- By where u has units of ft/sec and y has units of ft. The constants A and B and other channel dimensions are given in the table below. Inlet velocity V Downstream water height H2 Constant channel width (into the paper) W 2 ft/sec 1.5 ft 6 ft Constant A in downstream velocity profile 1.5 sec Constant B in downstream velocity profile 0.5 ft'sec" a) Find an equation for the inlet water height H¡ = function(V, H2, A, B) %3D b) Find a numerical value for H1

At the entrance to a water channel, the velocity is uniform with a velocity V. Further downstream the velocity profile is given by the function u = Ay- By where u has units of ft/sec and y has units of ft. The constants A and B and other channel dimensions are given in the table below. Inlet velocity V Downstream water height H2 Constant channel width (into the paper) W 2 ft/sec 1.5 ft 6 ft Constant A in downstream velocity profile 1.5 sec Constant B in downstream velocity profile 0.5 ft'sec" a) Find an equation for the inlet water height H¡ = function(V, H2, A, B) %3D b) Find a numerical value for H1