A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is its maximum speed? So, i had a go at the question which basically required the knowledge that maximum acceleration occurs when displacement is maximum and maximum velocity occurs when displacement is zero. So, i used the formula that acceleration = -w^2 [x(t)]....... getting the result that......... 5.3 = -w^2[x(t)] and solved for x(t) using the fact that w^2 = k/m.. therefore getting that maximum displacement = 0.028984375m. Does anyone know where i can go from here to get the maximum speed?