Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air resistance.) A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 32 feet above the g (a) How many seconds after its release will the bag strike the ground? (Round your answer to two decimal places.) sec (b) At what velocity will it strike the ground? (Round your answer to three decimal places.) V = ft/sec

College Algebra
10th Edition
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Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Assume the acceleration of the object is a(t)
= -32 feet per second per second. (Neglect air resistance.)
A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 32 feet above the g
(a) How many seconds after its release will the bag strike the ground? (Round your answer to two decimal places.)
sec
(b) At what velocity will it strike the ground? (Round your answer to three decimal places.)
V =
ft/sec
Transcribed Image Text:Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air resistance.) A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 32 feet above the g (a) How many seconds after its release will the bag strike the ground? (Round your answer to two decimal places.) sec (b) At what velocity will it strike the ground? (Round your answer to three decimal places.) V = ft/sec
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