Question: Assume that a particles position on the x-axis is given by x = 3 cos t + 4 sin t, where x is measured in

Assume that a particle’s position on the x-axis is given by x = 3 cos t + 4 sin t, where x is measured in feet and t is measured in seconds.

a. Find the particle’s position when t = 0, t = π/2, and t = π.

b. Find the particle’s velocity when t = 0, t = π/2, and t = π.

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