A particle of mass m moves along the x axis. Its position varies with time according to

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A particle of mass m moves along the x axis. Its position varies with time according to x = 2t3 − 4t2 where x is in meters and t is in seconds. Find 

(a) The velocity and acceleration of the particle at any time t; 

(b) The power delivered to the particle at any time t; and 

(c) The work done by the force from t = 0 to t = t1.

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