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From what floor should the mass be dropped to double that impact speed?
A block of mass m is dropped from the fourth floor of an office building, subsequently hitting the sidewalk at speed v. From what floor should the mass be dropped to double that impact speed?
A-the eighth floor
B-the tenth floor
C-the twelfth floor
D-the sixteenth floor
E-the sixth floor
D
From doing some math I get:
x = a/2 t^2 (This looks familiar)
From this I get:
t = sqrt(2x/a)
But v = at, so v = a*sqrt(2x/a).
Therefore velocity is proportional the square of the position you drop the block from. In other words, if you want twice the velocity, you must drop the ball from 4 times the height.
Drum N Bass Double Drop Tutorial