(25%%) Problem 3: A mass in = 0.65 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant * = 145 N/m and negligible mass. The mass undergoes simple harmonic motion when placed in vertical motion, with its position given as a function of time by y! = cos(or - 6), with the positive y-axis pointing upward. At time / = 0 the mass is observed to be at a distance d = 0.45 m below its equilibrium height with an upward speed of vo = 5 m/s.20% Part (a) Find the angular frequency of the oscillation, in radians per second. sin() cos( tano 7 R cotan() asin( acos() E 4 5 6 atan() acotan() sinh( 3 cosh( tanho cotanh( EEND O Degrees . Radians VO CLEAR Submit Hint Hints: 2%% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 20% Part (b) Find the value of o, in radians. 20% Part (c) Calculate the value of A, in meters. A 20% Part (d) What is the mass's velocity along the y-axis, in meters per second, at time f1 = 0.25 s? 20% Part (e) What is the magnitude of the mass's maximum acceleration, in meters per second squared