. The Street railway journal . d f: August 23, 1902.] STREET RAILWAY JOURNAL. 255 in which A = the area of the portion of the speed-time curve comprisedbetween the time values t° and t,and s = the distance traversed in the interval of time t t. By reversing the process, or differentiating, we return readilyfrom equation (e) to equation (d), and thence to equation (b),which was our starting point. The above relationship between the distance-time and thespeed-time curves is utilised to advantage in plotting the runcurves. [This relationship was mentioned as early as 1885 by M. BrunoAbdank-Abakan
. The Street railway journal . d f: August 23, 1902.] STREET RAILWAY JOURNAL. 255 in which A = the area of the portion of the speed-time curve comprisedbetween the time values t° and t,and s = the distance traversed in the interval of time t t. By reversing the process, or differentiating, we return readilyfrom equation (e) to equation (d), and thence to equation (b),which was our starting point. The above relationship between the distance-time and thespeed-time curves is utilised to advantage in plotting the runcurves. [This relationship was mentioned as early as 1885 by M. BrunoAbdank-Abakanowicz, in one of his serial articles on the Inte-graph, published in La Lumiere Electrique (Vol. XVIII, ), and reprinted in his work, Les Integraphes, 1886, ] Variable Velocity and Acceleration.—Velocity, like motionitself, may be estimated by reference either to its amount or to itsrate. I. Amount of Velocity.—The amount of velocity (or theamount of speed) of a moving body, is the difference between. FIG. 16 two definite given velocities of said body. The two velocities byreference to which amount of velocity is determined, are some-times called the initial and final states of motion, orvelocities of the (a) suggests at once the following analytic definition:Amount of velocity is the difference between two given time-rates of motion of a body. In symbols we have, for the amountof velocity, d s dsdt dt where v = amount of velocityv° = initial velocityv = final velocityWhen the initial velocity v° = zero, we have v = v (g)In this case the amount of velocity is the total velocity. Thisis the quantity generally meant when we speak of a speed of somany miles or kilometers per hour, or so many feet or meters persecond. When the initial velocity is lower than the final velocity, equa-tion (f) gives a positive value for v, and we have a gain or in-crease in velocity, which is acceleration. The motion taking placeunder these conditions is calle
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectstreetr, bookyear1884
