The equation of motion of a mass is given as: y= (0.51)e 0.-(0.01)e.2. where y is the displacement of the mass in meters and t is the time in seconds. Determine, numerically to three decimal-place accuracy, the time required for the displacement to reduce to half its initial value.
The equation of motion of a mass is given as: y= (0.51)e 0.-(0.01)e.2. where y is the displacement of the mass in meters and t is the time in seconds. Determine, numerically to three decimal-place accuracy, the time required for the displacement to reduce to half its initial value.
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 105RE
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![Numerical Solution of Algebraic Equations
(Roots of Equations)
The equation of motion of a mass is given as:
y = (0.51)e 0. -(0.01)e0.2.
where y is the displacement of the mass in meters and t is the time in seconds.
Determine, numerically to three decimal-place accuracy, the time required for
the displacement to reduce to half its initial value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc69cd08d-2d1e-47e2-914c-300a02fcdf10%2Fed0f8a5a-68f9-45e6-a5d7-bf67d9d53be5%2F1po8wbp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Numerical Solution of Algebraic Equations
(Roots of Equations)
The equation of motion of a mass is given as:
y = (0.51)e 0. -(0.01)e0.2.
where y is the displacement of the mass in meters and t is the time in seconds.
Determine, numerically to three decimal-place accuracy, the time required for
the displacement to reduce to half its initial value.
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