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in this problem were told what is the equation describing the motion of mass on the end of a spring which is stretched 8.8 centimeters from equilibrium and then released from rest and whose period is 0.66 seconds and then b is what will its displacement be after 1.8 seconds so we want to go ahead and start with a and so for a theres a formulation no which relates a bunch of variables and so essentially the formula is x which is your position is equal to the amplitude times the cosine of omega t right so t is just time omega is angular frequency or velocity right and so what were going to want to do is go ahead and relate these with the different variables were given so before we do that lets just write down what were given and were going to manipulate this equation a bit too so were given uh that its going to be stretched 8.8 centimeters from equilibrium and essentially what theyre telling us here is the amplitude right so theyre telling us the amplitude its going to be 8.