A Cannon Fires a Cannonball as Shown in the Figure $( x - 1200 ) ^ { 2 } = - \frac { 400 } { 3 } ( y - 800 )$

question 45

Multiple Choice

A cannon fires a cannonball as shown in the figure. The path of the cannonball is a parabola with vertex at the highest point of the path. If the cannonball lands 1600 ft from the cannon and the highest point it reaches is 2400 ft above the ground, find an equation for the path of the cannonball. Place the origin at the location of the cannon.

• A) \(( x - 1200 ) ^ { 2 } = - \frac { 400 } { 3 } ( y - 800 )\)
• B) \(( x - 800 ) ^ { 2 } = - \frac { 400 } { 3 } ( y - 2400 )\)
• C) \(( x - 800 ) ^ { 2 } = - \frac { 800 } { 3 } ( y - 2400 )\)
• D) \(( x - 2400 ) ^ { 2 } = - \frac { 800 } { 3 } ( y - 800 )\)
• E) none of these

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Definitions:

Net Present Value Method

A method in capital budgeting that evaluates an investment by calculating the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Present Value

The estimated current value of a forthcoming sum of money or series of cash inflows, considering a certain rate of return.

Method

A systematic way or approach used to accomplish a task or solve a problem, often applied in research, analysis, or strategic planning.

Capital Rationing

A strategy or situation where a company limits its new investments or projects due to constraints on available financial resources.