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 60 feet above the ground. How many seconds after its release will the bag strike the ground? Round your answer to three decimal places.

A) $1.541$ seconds
B) $1.643$ seconds
C) $2.693$ seconds
D) $1.327$ seconds
E) $2.827$ seconds