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

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) $10.091 \mathrm { sec }$