A particle's position is given as [(2.00 + 0.500 sin(0.4004))i + (3.00 + 0.500 sin(0.4004))5] +2.001²k) m, where the angles in the equation are given in radians, the time in seconds and the position in meters. (a) Determine the position of the particle at t = 0. (b) Determine the speed of the particle at t = 0.200 s. (c) Determine the average acceleration of the particle between t= 0.200 s and t = 0.400 s.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A particle's position is given as [(2.00 + 0.500 sin(0.4001))î + (3.00 + 0.500 sin(0.4004))ĵ] + 2.00/²k) m,
where the angles in the equation are given in radians, the time in seconds and the position in meters.
(a) Determine the position of the particle at t = 0.
(b) Determine the speed of the particle at t = 0.200 s.
(c) Determine the average acceleration of the particle betweent = 0.200 s and t = 0.400 s.
Transcribed Image Text:A particle's position is given as [(2.00 + 0.500 sin(0.4001))î + (3.00 + 0.500 sin(0.4004))ĵ] + 2.00/²k) m, where the angles in the equation are given in radians, the time in seconds and the position in meters. (a) Determine the position of the particle at t = 0. (b) Determine the speed of the particle at t = 0.200 s. (c) Determine the average acceleration of the particle betweent = 0.200 s and t = 0.400 s.
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Step 1

Given:

x(t) = [2.00+0.500 sin(0.400t)]i^ + 3.00+0.500 sin(0.400t)j^ +2.00t2 k^

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