A particle starts at rest on a smooth inclined plane. At the end of t seconds the position of the particle is given by (ewt +sin w t 4wi ,) x(t) where g = 9.81 m/s² is the constant of gravity. Suppose that particle ha moved x = 0.5m in t = 1s. Find the value of w in the equation by takin the interval [-2,-1] by using secant method.

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