document.write( "Question 1184744: someone thinks he can shoot an arrow as high as the Willis Tower in Chicago (443 m high). (a) at what velocity would the arrow have to be released at ground level? (b) how long would the ascent take? \n" ); document.write( "
Algebra.Com's Answer #815374 by ikleyn(52805)\"\" \"About 
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\n" ); document.write( "someone thinks he can shoot an arrow as high as the Willis Tower in Chicago (443 m high).
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document.write( "(a)  The general formula to calculate the required initial vertical velocity of ascent  \" v \"  is\r\n" );
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document.write( "         v = \"sqrt%282gh%29\",\r\n" );
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document.write( "     where h is the maximum height in meters, g is the gravity acceleration g = 9.81 m/s^2.\r\n" );
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document.write( "     For h = 443 meters (your example)\r\n" );
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document.write( "         v = \"sqrt%282%2A9.81%2A443%29\" = 93.229 m/s.\r\n" );
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document.write( "(b)  For the ascent time, use the formula  and get the answer\r\n" );
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document.write( "         t = \"sqrt%28%282h%29%2Fg%29\" = \"sqrt%28%282%2A443%29%2F9.81%29\" = 9.5 seconds  (rounded).\r\n" );
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