Chapter 21, Problem 19P

The following data was collected for a cross-section of a river (y= 5 distance from bank, H = 5 depth, and U = velocity):

y, m	0	1	3	5	7	8	9	10
H, m	0	1	1.5	3	3.5	3.2	2	0
U, m/s	0	0.1	0.12	0.2	0.25	0.3	0.15	0

Use numerical integration to compute the

(a) Average depth,

(b) Cross-sectional area,

(c) Average velocity, and

(d) The flow rate

Note that the cross-sectional area (A_c) and the flow rate (Q) can becomputed as

$A_c={\displaystyle {\int }_0^{y}H\left(y\right)}dy$ $Q={\displaystyle {\int }_0^{y}H\left(y\right)U\left(y\right)}dy$