1. A block of mass 0.3 kg and spring constant 24 N/m is on a frictionless surface. If the block is set into motion when compressed 3.5 cm, what is the maximum velocity of the block? How much is the spring compressed when the block has a velocity of 0.19 m/s? 2. Relevant equations I found this problem on a previous thread and I solved it using the law of conservation and got .027816 m or 2.7 cm. However, someone mentioned on the thread it can be solved using calculus. I get I'd have to double integrate the acceleration, but I don't know the time. 3. Attempt a = -kx(t)/m where How do I go about integrating that with respect to time, I know final velocity but I don't understand how to do it without knowing the displacement function so I can integrate x(t), since -k/m is a constant.