A particle starts at rest on a smooth inclined plane. At the end of t seconds, the position of the particle is given by -g 4w? x(t) : ( e"' +sin wt ), where g = 9.81 m/s? is the constant of gravity. Suppose that particle has moved x = 0.5m in t = 1s. Find the value of w in the equation by taking the interval [-2,–1] by using secant method.

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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A particle starts at rest on a smooth inclined plane. At the end oft seconds,
the position of the particle is given by
3.
-g
4w
( e"? +sin w t
).
x(1) =
where g = 9.81 m/s? is the constant of gravity. Suppose that particle has
moved x =
0.5m in t = 1s. Find the value of w in the equation by taking
the interval [-2,– 1] by using secant method.
Transcribed Image Text:A particle starts at rest on a smooth inclined plane. At the end oft seconds, the position of the particle is given by 3. -g 4w ( e"? +sin w t ). x(1) = where g = 9.81 m/s? is the constant of gravity. Suppose that particle has moved x = 0.5m in t = 1s. Find the value of w in the equation by taking the interval [-2,– 1] by using secant method.
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