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El Capitan in Yosemite National Park is 3593 ft high. How long would it take a carabiner to fall freely from the top?
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s = 3593 a = 9.8 t = ? u = 0 v = ? Find the "v" first. \[v^2 = u^2 + 2as\]\[v = \sqrt{0^2+2(9.8)(3593)}\]\[v = 265.37ft/s\]
Now use this to find time taken. using \[v = u + at\]
time of free fall \[\sqrt{{2h \over g}}\] h = 3593 ft = 1095 m g = 9.81 ms^-2
about 15 seconds.
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