The velocity of a particle in meters per second is given by v = 7 - 4t,

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The velocity of a particle in meters per second is given by v = 7 - 4t, where t is in seconds. 

(a) Sketch v(t) versus t, and find the area between the curve and the t axis from t = 2 s to t = 6 s. 

(b) Find the position x(t) by integration, and use it to find the displacement during the interval t =  s to t = 6 s. 

(c) What is the average velocity for this interval?

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