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Please show work 1) In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds

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1) In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your boyfriend you're madly in love with. The top of the fence is 5.00 m above the ground. You have taped an important message to a rock that you want to throw over the fence. The ground is level, and the width of the fence is small enough to be ignored. You throw the rock from a height of 1.60 m above the ground and at an angle of 44.0 degrees above the horizontal. (A) What minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? (B) What is the final velocity of the rock? 2)A baseball is hit directly in line with an outfielder at an angle of 35 degrees above the horizontal with an initial velocity of 22 m/s. The outfielder starts running as soon as the ball is hit at a constant velocity of 2.5 m/s and barely catches the ball. Assuming that the ball is caught at the same initial height at which it was hit, what was the initial separation between the hitter and outfielder? (They're 2 possible answers for this) 3)A ball thrown straight upward returns to its original level in 2.5 seconds. A second ball is thrown at an angle of 40 degrees above the horizontal. What is the initial speed of the second ball if it also returns to its original level in 2.5 seconds? 4)As a ship is approaching the dock at .45 m/s, an important piece of landing equipment needs to be thrown to it before it can dock. This equipment is thrown at 15.0 m/s at 60 degrees above the horizontal from the top of a tower at the edge of the water, 8.75 m above the ship's deck as show in the figure. For this equipment to land at the front of the ship, at what distance D from the dock should the ship be when the equipment is thrown

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