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Problem: A particle’s trajectory is described by x = (1/2t 3 - 2t 2) m and y = (1/2t 2 - 2t) m, where t is in seconds.(a) What are the particle’s position and speed at t = 0 s and t = 4 s?(b) What is the particle’s direction of motion, measured as an angle from the x-axis, at t = 0 s and t = 4 s?

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A particle’s trajectory is described by x = (1/2t 3 - 2t 2) m and y = (1/2t 2 - 2t) m, where t is in seconds.
(a) What are the particle’s position and speed at t = 0 s and t = 4 s?
(b) What is the particle’s direction of motion, measured as an angle from the x-axis, at t = 0 s and t = 4 s?

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