Solve the Problem $\mathrm{ft} / \mathrm{s}$ At the Point of Discharge Is Given By

Multiple Choice

Solve the problem.
-The velocity of water in $\mathrm{ft} / \mathrm{s}$ at the point of discharge is given by $\mathrm{v}=13.82 \sqrt{\mathrm{P}}$ , where $\mathrm{P}$ is the pressure $\mathrm{lb} / \mathrm{in} .2$ of the water at the point of discharge. Find the rate of change of the velocity with respect to pressure if the pressure is $50.00 \mathrm{lb} / \mathrm{in}^{2}$ .

A) $0.1382 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in} .^{2}$
B) $1.95 \mathrm{ft} / \mathrm{s}$ per lb/in. ${ }^{2}$
C) $0.9772 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in} .^{2}$
D) $48.86 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in} .^{2}$