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Unformatted text preview: x H y v O L v W v B x y v L D = 0.10 m/s. Thus the range of initial speeds is 10.76 m/s < v < 10.96 m/s . 89. ( a ) The rotational speed at the equator is v = 2p r E / T = 2p(6.38 10 6 m)/(86,400 s) = 464 m/s . ( b ) At a latitude , the radius of rotation (distance to the axis of rotation) is r E cos . The rotational speed is v = 2p r E cos / T = v cos = (464 m/s) cos 40 = 355 m/s . 90. We use the coordinate system shown in the diagram, with up positive. For the horizontal motion, we have x = v x t ; L = ( v cos ) t ; 195 m = ( v cos )(7.6 s), which gives v cos = 25.7 m/s. For the vertical motion, we have y = y + v y t + ! a y t 2 ; H = 0 + ( v sin ) t + ! ( g ) t 2 ; 155 m = ( v sin )(7.6 s) + ! ( 9.80 m/s 2 )(7.6 s))(7....
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- Fall '08