Suppose the Position Function for a Free-Falling Object on a Certain

question 35

Multiple Choice

Suppose the position function for a free-falling object on a certain planet is given by $s ( t ) = - 12 t ^ { 2 } + v _ { 0 } t + s _ { 0 }$ . A silver coin is dropped from the top of a building that is 1372 feet tall. Find the time required for the coin to reach ground level. Round your answer to the three decimal places.

• A) \(2.849 \mathrm { sec }\)
• B) \(10.273 \mathrm { sec }\)
• C) \(10.693 \mathrm { sec }\)
• D) \(3.087 \mathrm { sec }\)
• E) \(10.091 \mathrm { sec }\)

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Definitions:

Neutral Conductor

A conductor that is connected to a point of zero voltage in an electrical system, providing a return path for current in circuits where a neutral point is used.

Potential

Refers to the potential energy per unit charge at a point in a field or circuit, often associated with voltage or electric potential difference.

Coulomb

The standard unit of electric charge in the International System of Units (SI), equivalent to the charge transported by a constant current of one ampere in one second.

Joule

A unit of energy in the International System of Units (SI), equal to the energy transferred to an object when a force of one newton acts on it in the direction of its motion through a distance of one meter.