The acceleration \( f \) (in ft/sec\(^2\)) of a particle after a time \( t \) seconds starting from rest is given by: \[ f = 6 - \sqrt{1.2t}. \] Then the maximum velocity \( v \) and the time \( T \) to attain this velocity are:
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To find maximum velocity, differentiate the velocity expression and set the derivative equal to zero. Integrate acceleration for the velocity function