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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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/
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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