1. The problem statement, all variables and given/known data A mass "m" is attached to a spring of constant "k" and is observed to have an amplitude "A" speed of "v0" as it passes through the origin. a) What is the angular frequency of the motion in terms of "A" and "v0"? b) Suppose the system is adjusted so that the mass has speed "v1" at position "x1" and speed "v2" at position "x2". Find the angular frequency, "ω0", and amplitude "A" in terms of these given quantities. Simplify your results. 2. Relevant equations x = A*sin(ω0*t -φ) v = A*ω0*cos(ω0*t -φ) 3. The attempt at a solution so for the first part x(t0) = A*sin(ω0*t0 -φ) = 0 therefore φ = ω0*t0 v(t0) = A*ω0*cos(ω0*t0 -φ) = v0 therefore ω0 = v0/A for part b.) x1 = A*sin(ω0*Δt1) v1 = A*ω0*cos(ω0*Δt1) x2 = A*sin(ω0*Δt2) v2 = A*ω0*cos(ω0*Δt2) where Δt1 = t1 - t0 and Δt2 = t2 - t0 theres four unknowns and four equations so I know I should be able to solve for ω0 and A, but I can't seem to untangle all these trig functions. any hints?