Caption: War Publications - WWI Compilation 1923 - Article 46 This is a reduced-resolution page image for fast online browsing.
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4 il.au the gun. 37oo Kun, Find the angle of site and the gun the part of the stuck tit, ihc use of coordinates must be briefly explained by the instructor if the following formulae and problems are 1 'i«i _ J A! . ^£ tLA + - - -^ « - - f 1 « . • and some calculus so t onometrie formula lenis is very clear. ln figure i let x, v (measured in feet) be the coord an point, P, of the trajectory in vacuo, f t the time of flight (in seconds) until the projectile reaches P, V the initial velocity (in feet per second), and g = 32.2, then the following formulae hold :* without proof. This in working with trigmeaning of the prob- *+ x t-V- cos if/ v t-V- sin \p gt - 2 Eliminating t, we obtain the relation between x and y: V X- tan \p 9* 2 2 2V . cos \f/ From this the horizontal range X (in feet) is obtained by assuming y o: X V' ' sin 2\p 9 2 The total time of flight T (for the horizontal range X) is given by T X V- cos \(/ 2X • tan \ff 9 PROBLEMS Yh vacuum (Alger, p. 32) •Alger, p. 28 8
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