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

question 21

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

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