Solve the Problem $\mathrm { s } ( \mathrm { t } )$

question 133

Multiple Choice

Solve the problem.
-An arrow is fired straight up from the ground with an initial velocity of 240 feet per second. Its height, $\mathrm { s } ( \mathrm { t } )$ , in feet at any time $t$ is given by the function $s ( t ) = - 16 t ^ { 2 } + 240 t$ . Find the interval of time for which the height of the arrow is greater than 116 feet.

• A) between \(\frac { 1 } { 2 }\) and \(\frac { 29 } { 2 } \mathrm { sec }\)
• B) after \(\frac { 1 } { 2 } \sec\)
• C) before \(\frac { 29 } { 2 } \mathrm { sec }\)
• D) before \(\frac { 1 } { 2 }\) sec or after \(\frac { 29 } { 2 } \mathrm { sec }\)

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Definitions:

Volume Overhead Variances

The difference between the budgeted overhead costs based on expected volume and the actual overhead costs incurred.

Controllable Variance

The difference between actual and budgeted performance that can be directly managed or controlled by responsible managers.

Actual Direct Labor Hours

The actual amount of labor time spent on producing goods, tracked to assess efficiency and productivity.

Management By Exception

A management strategy where managers intervene only when performance deviates significantly from standards, allowing them to focus on significant issues.