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45. 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)² where v(t) is velocity (negative since the object is falling) and k is a constant. Suppose that m = 75 kg and k = 14 kg/m. |(a) What is the object's velocity when a(t) = -4.9? (b) What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.

45. 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)² where v(t) is velocity (negative since the object is falling) and k is a constant. Suppose that m = 75 kg and k = 14 kg/m. |(a) What is the object's velocity when a(t) = -4.9? (b) What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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45. 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)² where v(t) is velocity (negative since the object is falling) and k is a constant. Suppose that m = 75 kg and k = 14 kg/m. |(a) What is the object's velocity when a(t) = -4.9? (b) What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.
Transcribed Image Text:45. 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)² where v(t) is velocity (negative since the object is falling) and k is a constant. Suppose that m = 75 kg and k = 14 kg/m. |(a) What is the object's velocity when a(t) = -4.9? (b) What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.
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