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in this question we need to determine the magnitudes of velocity and acceleration of the block letamp;#39;s write down what we know from the question and diagram now letamp;#39;s write down the equations for magnitude of velocity and acceleration so first we need to figure out a few things before we can start plugging in values we need a position equation we are given the speed which is a derivative of the position equation that means we need to take the integral to go backwards this is the same as when we need to figure out a position equation from velocity the lower and upper bound for our integral are the following the distance starts as zero meters and the time starts from zero seconds letamp;#39;s solve the integral now we have a position equation the first time derivative but not the second time derivative so letamp;#39;s find that now we are simply taking the derivative of our speed equation now we have the angular velocity but not the second derivative of angular velocity s