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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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
Transcribed Image Text: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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