Rock Grinding
How long does it take the rock to hit the ground?
A caveman drops a rock from ground-level, into a hole. He counts in seconds until the rock hits the bottom of the hole, and finds that the hole is '16 seconds deep.' Assuming there is no air friction, and the initial velocity of the rock is 0m/s, how deep is the hole?
Eric B, I don't believe you. Where is your proof? Show your work please.
The second and third answerers, thats not correct, because my teacher said that's not the right answer, that was what my original answer was
340(16-t) = 1/2(-9.8)(t)^2
5440-340t =
10,880 - 680t = 9.8m/s^2
9.8m/s^2 +680t - 10,880 = 0
Use quadratic Equation
[-680 + or - sqrt( 680^2-4(9.8)(-10,880)] / 2A
13.4 seconds til bottom
x = 1/2at^2
x = 1/2(9.8)(13.4^2)
x = 879.8m
or
x=vt
x = (340m/s)(2.6s)
884m
difference in answers is because of where I rounded off
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