Respuesta :
A free falling object's speed increases in a constant increment or it accelerates in a constant rate.
A stone that is initially at rest and is constantly gaining fresh amounts of speed as it descends from a height.
When we thoroughly study the situation, we see that there is no increment or addition simpler than that which repeats itself consistently in the same way. The intimate relationship between time and motion makes this easy to understand. For example, just as consistency of motion is described by and envisioned through equal times as well as equal spaces, so too can we, in a comparable pattern, through equal time-intervals, perceive additions of speed as occurring without difficulty. Accordingly, we can picture in our minds a motion as uniformly and continuously accelerating when, throughout any equal intervals of time whatsoever, equal increment.
The quantity of speed gained during the initial two time frames will therefore be almost double gained in the initial time interval alone. The quantity gained during the third and fourth time span will be triple that of the initial time interval, and the amount gained in the fifth time period will be more than double that of the first time interval. This is assuming that any equal intervals of time have passed since the moving body left its position of rest and started to descend.
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