Calculating Static Spring Deflection in Basic Harmonic Motion

[Leiws25]

A 10kg mass is suspended from a spring which has a constant K = 2.5kn/m. At time t=0, it has a downward velovcity of 0.5m/s as it passes through the position of static equilibrium. Determine the static spring deflection.


I believe i first need to calculate the force which requires basic trig. However I am unsure how to do that. I really just need some pointers in the right direction. Thanks in advance!

 

[CWatters]

Hint on how I'd do it... An oscillating spring trades KE and PE.