Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 246
s, I ds =at. dt, and find s = J a/2, we have really obtained the sum of an infinite number of elementary areas, each v . ator at . J/, the total of which gives the space traversed bythe body during the time /, and moving in accordance withthe law v = at. The summation of elementary areas with a… … the law v = at during a finite time interval CD we mightproceed thus: putting OD = t2 and OC = tx (Fig. 17), and integrating ds I = / at . dt, we get s = \ at2 + C, as we have already seen, and if the initial velocity is zero wehave s = \ at2.The space traversed from zero to t2 is represented by…
Geometry, Analytic · Calculus
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