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

question 155

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) \(67.081 \mathrm { ft } / \mathrm { sec }\)

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