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

Solve the problem.
-The velocity of water $\mathrm{ft} / \mathrm{s}$ at the point of discharge is given by $\mathrm{v}=14.66 \sqrt{\mathrm{P}}$ , where $\mathrm{P}$ is the pressure $\mathrm{lb} / \mathrm{in} .2$ of the water at the point of discharge. Estimate the rate of change of the velocity with respect to pressure if the pressure is $60.00 \mathrm{lb} / \mathrm{in}^{2}{ }^{2}$ . (Round to two decimals.)

A) $56.78 \mathrm{ft} / \mathrm{s}$ per lb/in. ${ }^{2}$
B) $0.12 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in} .^{2}$
C) $1.90 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in}^{2}$
D) $0.95 \mathrm{ft} / \mathrm{s}$ per $\mathrm{lb} / \mathrm{in} .^{2}$