I need some help with these, I'll make sure to leave a good review

1. To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 300 m/s at 55.0 degrees above the horizontal. It explodes on the mountainside 42.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

2. When the Sun is directly overhead, a hawk dives towards the ground with a constant velocity of 5.60 m/s at 60 degrees below the horizontal. Calculate the velocity of its shadow on the level ground.

3. In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted by the soul-crushing emptiness in his life and does not see the mug, which slides off the counter and strikes the floor 1.40m from the base of the counter. If the height of the counter is 0.860 m, (a) with what velocity did the mug leave the counter? (b) What was the direction of the mug's velocity just before it hit the floor? (the angle)

4. A tennis ball is thrown out a window 28.0 m above the ground with an initial velocity of 15.0 m/s and 20 degrees below the horizontal. How far does the ball move horizontally before it hits the ground?

5. Two baseballs are pitched horizontally from the same height and angle but at different speeds. The faster ball crosses the plate in the strike zone but the slower pitch is at the batter's knees. Why do the balls pass the batter at different heights?