In a friendly neighborhood squirt gun contest a participant runs at 7.8 m/s horizontally off the back deck and fires her squirt gun in the plane of her motion but 45° above horizontal. The gun can shoot water at 11 m/s relative to the barrel, and she fires the gun 0.42 s after leaving the deck.

(a) What is the initial velocity of the water particles as seen by an observer on the ground? Give your answer in terms of the horizontal and vertical components.

(b) At the instant she fires, the gun is 1.9 m above the level ground. How far will the water travel horizontally before landing?