Block attached to spring is kicked,what distance will the spring stretch?

kabailey

A block, no friction, of 1 kg is attached to a spring rests on a horizontal surface with a length L. The spring is connected to a fixed point. The 1kg block is kicked and has a velocity of 1 m/s. As the block swings around the fixed point, the spring stretches to a total distance of L + x, at position 90 degrees counter-clockwise from rest.. What is the distance in meters the spring stretches?

L=1m
m=1kg
k=1 N/m
Vi=1 m/s
x=?



F=-kx


I am having a difficult time getting this problem started. Thanks!