A harmonic oscillator has the position function
x(t) = xm cos (ωt +Φ)
The velocity function, v(t), is pictured on the right. The vertical scale has a value of vs= 4.0 x 106 cm/s at t = 0
(a) Calculate the phase constant Φ (in radians) for the harmonic oscillator with the velocity function v(t) given in the figure.
(b) Calculate the position of the particle at t = 1.0 seconds, assuming xm = 1.0 x 10-7 cm. If you did not find a value in part (a), use Φ = -0.8 instead.