I know, this is a differential equation problem though and using the equation of simple harmonic motion I found the above equation.
Also, I was hoping there was a simple identity that I could use to find t rather than something really unpleasant. Thanks though.
A mass of 1 slug is suspended from a spring whose spring constant is 9lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of square root 3 ft/s. Find the times at which the mass is heading downward at a velocity of 3 ft/s.
I found...