Can you please write a code in python to create the curve between a and b in the diagram, on the first picture. Use the second picture to help solve this. Thank you!!

Consider a vertical sluice gate in a wide rectangular channel ( R=A/P=By/(B+2y)y because B2y). The flow downstream is a jet that possesses a vena contractra. The coefficients of contraction are approx. 0.6, ranging from 0.598 to 0.611. Determine the distance from the vena contracta to point b downstream where the flow depth is 0.5m. The flow depth at the vena contracta is 0.457m for a flow rate of 4.646 m3/s per meter of width. The bed slope is 0.0003 and Manning's roughness factor is n=0.020. Direct Step Method to compute reach lengths for specified depths at each end of a reach The gradually varied flow equaton expressed in terms of the specific energy: SoxSfx=(y2+22gV22)(y1+12gV12)=E2E1 where Sf is the average friction slope for the channel reach. Solve for x x=SoSfE2E1 where Sf=2.22R4/3n2v2 and Sf=21(Sf1+Sf2) - Subcritical flow: Compute from downstream to upstream - Supercritical flow: from upstream to downstream