A particle starts at rest on a smooth inclined plane whose angle is changing at a

Chapter 2, Problem 2.1.20

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A particle starts at rest on a smooth inclined plane whose angle is changing at a constant rate d dt = < 0. At the end of t seconds, the position of the object is given by x(t) u(t) x(t) = g 22 ewt ewt 2 sin t . Suppose the particle has moved 1.7 ft in 1 s. Find, to within 105, the rate at which changes. Assume that g = 32.17 ft/s2.

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