The velocity of a particle is given by v = 6t + 3, where t is in

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The velocity of a particle is given by v = 6t + 3, where t is in seconds and v is in meters per second. 

(a) Sketch v(t) versus t, and find the area under the curve for the interval t = 0 to t = 5 s. 

(b) Find the position function x(t). Use it to calculate the displacement during the interval t = 0 to t = 5 s.

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