Numerical Solution of Algebraic Equations(Roots of Equations)4: 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 forthe displacement to reduce to half its initial value.

The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Answered: The equation of motion of a mass is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 74E

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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.