The Height Above the Ground of an Object Thrown Upward $f ( t ) = - 16 t ^ { 2 } + v _ { 0 } t + s _ { 0 }$

Multiple Choice

The height above the ground of an object thrown upward from a point feet above the ground with an initial velocity of feet per second is given by the function $f ( t ) = - 16 t ^ { 2 } + v _ { 0 } t + s _ { 0 }$ . A balloon, rising vertically with a velocity of 24 feet per second, releases a sandbag at the instant it is 20 feet above the ground. At what velocity will it hit the ground? Round your answer to three decimal places.

A) $- 60.111 \mathrm { ft } / \mathrm { sec }$
B) $- 43.081 \mathrm { ft } / \mathrm { sec }$
C) $- 15.028 \mathrm { ft } / \mathrm { sec }$
D) $49.298 \mathrm { ft } / \mathrm { sec }$
E) $67.081 \mathrm { ft } / \mathrm { sec }$