1. The problem statement, all variables and given/known data A 100g particle hangs freely at rest on the end of a spring of stiﬀness 10N/m. If the particle is projected upwards with a speed of 2m/s, ﬁnd the time taken until it ﬁrst comes to rest and the distance travelled. 2. Relevant equations Well, there's F = -k.x and of course the classic F = ma .. and the normal linear motion equations? And the conservation of energy too I think... 3. The attempt at a solution Ok, well first off this is probably wrong because I suck at Simple Harmonic Motion, but this is what I did: I started off by finding the distance between L0 and the equilibrium position, by using m.a = k.x .... and got x = (0.1)(9.8)/(10) =0.098. Hence, I did the following: (0.5)(k)(x^2) + (0.5)(m)(u^2) = (0.5)(m)(V^2) ... and got V to equal 2.2272 m/s. Then, I assumed that normal motion would resume and used "v=u+at" and "(v^2-u^2)/2a = s" to calculate the rest. I obtained t = 0.227 s and s = 0.2531 m There are no answers available for this question unfortunately, and I've an exam on this topic tomorrow, so I was hoping that someone on this that understands SHM could help me if I'm doing this wrong? Thank you.