A text book of elementary mechanics, for the use of colleges and schools (1881)
Dana, Edward Salisbury, 1849-1935 · New York, J. Wiley & sons · leaf 66
cos a; or, substituting the above value of t, 50.J AK = PROJECTILES. 2ii* sin a cos a y? sin 2a 47 9 9 (a) This value AK gives the range. Further, since sin 2a= sin (180° - 2a) = siii 2(90° - a), it is obvious thatfor every horizontal distance there are two values of theangle of projection; viz., a… … sin 2ar = 1, for the value of AK is then the greatest;for this case the two paths of the projectile coincide. (c) Since the vertical component of the initial velocityis u sin a, the actual vertical velocity of the projectilewill be given, for any time t, by the formula (41) V = u sin a — gt. (3)…
Mechanics
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