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 instantaneous velocity of the coin when $t = 4$ .

A) $- 96 \mathrm { ft } / \mathrm { sec }$
B) $- 32 \mathrm { ft } / \mathrm { sec }$
C) $- 20 \mathrm { ft } / \mathrm { sec }$
D) $- 144 \mathrm { ft } / \mathrm { sec }$
E) $- 48 \mathrm { ft } / \mathrm { sec }$