Use a Calculator to Find the Function Value $\mathrm { V }$

question 248

Multiple Choice

Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary.
-If an automobile is traveling at velocity $\mathrm { V }$ (in feet per second) , the safe radius $\mathrm { R }$ for a curve with superelevation $\alpha$ is given by the formula $\mathrm { R } = \frac { \mathrm { V } ^ { 2 } } { \mathrm {~g} ( \mathrm { f } + \tan \alpha ) }$ , where $\mathrm { f }$ and $\mathrm { g }$ are constants. A road is being constructed for automobiles traveling at 49 miles per hour. If $\alpha = 4 ^ { \circ } , \mathrm { g } = 31.6$ , and $\mathrm { f } = 0.16$ , calculate $R$ . Round to the nearest foot. (Hint: 1 mile $= 5280$ feet)

• A) \(R = 711 \mathrm { ft }\)
• B) \(\mathrm { R } = 695 \mathrm { ft }\)
• C) \(\mathrm { R } = 731 \mathrm { ft }\)
• D) \(\mathrm { R } = 1161 \mathrm { ft }\)

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