Picture yourself in the castle of Helm’s Deep from the Lord of the Rings. You are on the top of the castle wall and are dropping rocks on assorted monsters that are 18.35 m below you. At the same time you release the rock from rest, an orc archer, located directly below you, shoots an arrow straight up toward you with an initial velocity of 47.4 m/s. The arrow hits the rock in midair. How long after you release the rock does this happen?