How far horizontally (in m) does the rock hit the ravine from your location?
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A ravine's shape is given by y(x) = -11 x + 1.8 x2 (m). You throw a rock from the origin, horizontally across the ravine and with initial speed 9.4 m/s2. How far horizontally (in m) does the rock hit the ravine from your location? (Use g = 10 m/s2.) (Please answer to the fourth decimal place - i.e 12.2332)
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- A Bard student standing on the Kingston-Rhinecliff Bridge, 90 m above the Hudson River, throws a rock with an initial velocity of 30 m/s at a 20° angle upwards, relative to the horizontal. Problem 1.1. Draw a diagram of this problem.Problem 1.2. What is the distance from the spot where the rock was thrown to the spot where it hits the water?You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it up, you will be in a hurry and should walk straight to it. Determine the angle you should walk, relative to due west and the distance.A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45degree east of south, and then 280 m at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started.
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