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 $s ( t ) = - 13 t ^ { 3 } + v _ { 0 } t + s _ { 0 }$ . A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.

A) $v ( t ) = - 13 t ^ { 3 } + 1370$
B) $v ( t ) = - 39 t ^ { 2 }$
C) $v ( t ) = - 39 t ^ { 3 } + 1370$
D) $v ( t ) = - 13 t ^ { 2 }$
E) $v ( t ) = - 3 t ^ { 4 }$