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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 satisfies a(t) = -9.8 +v(1)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 17 kg/m. What is the object's velocity when a(t) = -3.7? (Use decimal notation. Give your answer to two decimal places.) u(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.)

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 satisfies a(t) = -9.8 +v(1)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 17 kg/m. What is the object's velocity when a(t) = -3.7? (Use decimal notation. Give your answer to two decimal places.) u(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.)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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u(t) = 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.) u(t) = m/
Transcribed Image Text:u(t) = 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.) u(t) = m/
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 satisfies a(t) = -9.8+v(t)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 17 kg/m. What is the object's velocity when a(t) = -3.7? (Use decimal notation. Give your answer to two decimal places.) U(1) = 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.)
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 satisfies a(t) = -9.8+v(t)², where u(t) is velocity, negative since the object is falling, and k is a constant. Suppose that m = 65 kg and k = 17 kg/m. What is the object's velocity when a(t) = -3.7? (Use decimal notation. Give your answer to two decimal places.) U(1) = 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.)
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