Solve the Problem $\mathrm { v }$ (In $\mathrm { ft } / \mathrm { sec }$

question 494

Multiple Choice

Solve the problem. Round your answer, if appropriate.
-Water is discharged from a pipeline at a velocity $\mathrm { v }$ (in $\mathrm { ft } / \mathrm { sec }$ ) given by $\mathrm { v } = 1936 \mathrm { p } ( 1 / 2$ ) , where $\mathrm { p }$ is the pressure (in psi) . If the water pressure is changing at a rate of $0.373 \mathrm { psi } / \mathrm { sec }$ , find the acceleration (dv/dt) of the water when $\mathrm { p } = 60.0 \mathrm { psi }$ .

• A) \(2800 \mathrm { ft } / \mathrm { sec } ^ { 2 }\)
• B) \(125 \mathrm { ft } / \mathrm { sec } ^ { 2 }\)
• C) \(75.0 \mathrm { ft } / \mathrm { sec } ^ { 2 }\)
• D) \(46.6 \mathrm { ft } / \mathrm { sec } ^ { 2 }\)

---

Definitions:

Payback Period

The time it takes for an investment to generate an amount of income or cash equivalent to the cost of the investment, used as a measure of the investment's risk and profitability.

Discount Rate

The interest rate used to discount future cash flows to their present value, often used in investment appraisal and capital budgeting.

Net Present Value

A financial metric that calculates the difference between the present value of cash inflows and the present value of cash outflows over a period.

Investment

The allocation of resources, such as time, money, or effort, in the expectation of future returns, typically involving some degree of risk.