1. The problem statement, all variables and given/known data A particle undergoes simple harmonic motion. It has velocity v1 when the displacement is x1 and velocity v2 when the displacement is x2. Find the angular frequency ω and amplitude A in terms of the given quantities. 2. Relevant equations x = A sin (ωt + ∅ ) v = A ω cos ( ωt + ∅ ) 3. The attempt at a solution I tried starting x1 and v1 at t=0 s. This yields x = A sin ( ∅ ) v = A ω cos ( ∅ ) The equations for position 2 included the ωt. I have four equations: two position and two velocity and four unknowns: A, ω, ∅, and t. I just need A and ω. Is this the right direction?