According to one model that takes into account air resistance, the acceleration a(t) in m/s² of a skydiver of mass m in free fallu(t)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose thatm = 80 kg and k = 13 kg/m.satisfies a(t) = −9.8 +What is the object's velocity when a(t) = −8.7?m

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Answered: fies a(t) = −9.8 + mv(t)², where v(t)…

fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a constant. Suppose that 80 kg and k = 13 kg/m. at is the object's velocity when a(t) = −8.7?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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Question

According to one model that takes into account air resistance, the acceleration a(t) in m/s² of a skydiver of mass m in free fall
u(t)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose that
m = 80 kg and k = 13 kg/m.
satisfies a(t) = −9.8 +
What is the object's velocity when a(t) = −8.7?
m

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