An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 188
this value of the velocity be substituted for v1 in (60), and we make s=0, we get, as before, 0=vt sin. a—\gf, 2v sin. at =0, and t= . g 270. Prop. To find the range of a projectile on a horizontalplane. Put y=0 in (64), and we have <r2 0=x tan. a- 4h cos.3 a from which we obtain for the point… … 1G4 DYNAMICS. or the greatest horizontal range is equal to twice the heightdue to the velocity of projection, or twice the distance fromthe point of projection to the focus of the trajectory. Cor. 2. The range is the same for any two angles of eleva-tion, the difference between which and 45° is the…
Mechanics, Analytic
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