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A Catechism of the Steam Engine by John Bourne
page 20 of 494 (04%)
relation of the times to the spaces will be as follows:--

Number of seconds | 1| 2| 3| 4| 5| 6|
Units of space passed through | 1| 4| 9|16|25|36| &c.

so that it appears that the spaces passed through by a falling body are as
the squares of the times of falling.

17. _Q._--Is not the urging force which causes bodies to fall the force of
gravity?

_A._--Yes; the force of gravity or the attraction of the earth.

18. _Q._--And is not that a uniform force, or a force acting with a uniform
pressure?

_A._--It is.

19. _Q._--Therefore during the first second of falling as much impelling
power will be given by the force of gravity as during every succeeding
second?

_A._--Undoubtedly.

20. _Q._--How comes it, then, that while the body falls 64-4/12 feet in two
seconds, it falls only 16-1/12 feet in one second; or why, since it falls
only 16-1/12 feet in one second, should it fall more than twice 16-1/12
feet in two?

_A._--Because 16-1/12 feet is the average and not the maximum velocity
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