The position coordinate of a particle which is confined to move along a straight line is given byS = 2t*3- 24t+6, where s is measured in meters from a convenient origin and t is in seconds. Determine(a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0, (b) theacceleration of the particle when v = 30 m/s, and (c) the net displacement of the particle during theinterval from t = 1 s to t = 4 s.
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