An ingenious bricklayer builds a device for shooting bricks up to the top of the wall where he is working. He places a brick on a vertical compressed spring with force constant k = 450 {\rm N/m} and negligible mass. When the spring is released, the brick is propelled upward.
If the brick has mass 1.80 {\rm kg} and is to reach a maximum height of 3.6 {\rm m} above its initial position on the compressed spring, what distance must the bricklayer compress the spring initially?