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1) In the movie The God's Must Be Crazy, a bottle is thrown from a cliff overlooking the Indian Ocean. Assume the cliff-face is a perfectly vertical so the base is directly below the top, and ignore air resistance as well as any variation in the height of the water's surface due to waves. If the cliff is half a kilometer above the ocean and the bottle is thrown horizontally at an initial speed of 10.0 m/s, what are the bottle's position and velocity (magnitude and direction relative to the cliff-top) at t = 0.50 s after being thrown? How long does it take the bottle to hit the water? How far from the bottom of the cliff does the base hit the water? What is it's velocity (magnitude and direction) just before impact?
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