According to one model that takes into account air resistance, the acceleration a(t) in m/s of a skydiver of mass m in free fall satisfies a(t) = -9.8 + v(t), where v(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 12 kg/m. What is the object's velocity when a(t) = -5.5? (Use decimal notation. Give your answer to two decimal places.) v(t) = m/s What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity. (Use decimal notation. Give your answer to two decimal places.) v(t) = m/s

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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According to one model that takes into account air resistance, the acceleration a(t) in m/s of a skydiver of mass m in free fall
satisfies a(t) = -9.8 +v(t), where v(t) is velocity, negative since the object is falling, and k is a constant. Suppose that
m = 65 kg and k = 12 kg/m.
What is the object's velocity when a(t) = -5.5?
(Use decimal notation. Give your answer to two decimal places.)
v(t) =
m/s
What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.
(Use decimal notation. Give your answer to two decimal places.)
v(t) =
m/s
Transcribed Image Text:According to one model that takes into account air resistance, the acceleration a(t) in m/s of a skydiver of mass m in free fall satisfies a(t) = -9.8 +v(t), where v(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 12 kg/m. What is the object's velocity when a(t) = -5.5? (Use decimal notation. Give your answer to two decimal places.) v(t) = m/s What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity. (Use decimal notation. Give your answer to two decimal places.) v(t) = m/s
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