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The following is from introductory college physics, and the five questions are on the context of projectiles in 2 and 3d motion.

The following is from introductory college physics, and the five questions are on the context of projectiles in 2 and 3d motion.Please annotate the derived equations and the math briskly, for each part of the question to illuminate concepts. Q: You toss a protein bar to your hiking companion located 8.6 m up a 39 slope.Determine the initial velocity so the bar reaches your friend moving horizontally.Determine the direction of the initial velocity vector so the bar reaches your friend moving horizontally. Q : If you can throw a stone straight up to height h, what's the maximum horizontal distance you could throw it over level ground?Express your answer in terms of h.Q: A soccer player can kick the ball 27m on level ground, with its initial velocity at 41to the horizontal.At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 10 upward slope?Q: A diver leaves a 3-m board on a trajectory that takes her 2.5mm above the board and then into the water 2.7mm horizontally from the end of the board.At what speed did she leave the board?At what angle did she leave the board?Q: A hockey puck slides off the edge of a table with an initial velocity of 23.7 m/s and experiences no air resistance. The height of the tabletop above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground? Much thanks in advance.

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