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Gravity QUOTES

Gravity QUOTES

1 " Let us now divide the time interval from o to t into a large number of very short time intervals and draw vertical lines as shown in the figure, thus forming a large number of thin tall rectangles. "

― George Gamow , Gravity

2 " We now can replace the smooth slope corresponding to the continuous motion of the object with a kind of staircase representing a jerky motion in which the velocity abruptly changes by small increments and remains constant for a short time until the next jerk takes place. "

― George Gamow , Gravity

3 " During each short time interval the motion is assumed to proceed with a constant velocity corresponding to that time, and the distance covered is equal to this velocity multiplied by the time interval. "

― George Gamow , Gravity

4 " But since the velocity is equal to the height of the thin rectangle, and the time interval to its base, this product is equal to the area of the rectangle. "

― George Gamow , Gravity

5 " Repeating the same argument for each thin rectangle, we come to the conclusion that the total distance covered during the time interval (o,t) is equal to the area of the staircase or, in the limit, to the area of the triangle ABC. "

― George Gamow , Gravity