document.write( "Question 1088660: A projectile is fired vertically upward and its height s(t) in feet after t seconds is given by the function defined by s(t) = -16t^2 + 800t + 600. After how many seconds will the projectile be 5000 ft above the ground? \n" ); document.write( "
Algebra.Com's Answer #702979 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"s%28t%29+=+-16t%5E2+%2B+800t+%2B+600\" \r
\n" ); document.write( "\n" ); document.write( "After how many seconds will the projectile be \"5000ft\" above the ground=>\"s%28t%29+=5000ft\"\r
\n" ); document.write( "\n" ); document.write( "\"5000=+-16t%5E2+%2B+800t+%2B+600\" \r
\n" ); document.write( "\n" ); document.write( "\"5000%2B16t%5E2+-+800t+-600=0\" \r
\n" ); document.write( "\n" ); document.write( "\"16t%5E2+-+800t%2B4400=0\" \r
\n" ); document.write( "\n" ); document.write( "\"t%5E2+-+50t%2B275=0\" \r
\n" ); document.write( "\n" ); document.write( "\"t%5E2+-+50t%2B275=0\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%28-%28-50%29+%2B-+sqrt%28+%28-50%29%5E2-4%2A1%2A275+%29%29%2F%282%2A1%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%2850+%2B-+sqrt%28+2500-1100+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%2850+%2B-+sqrt%281400+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%2850+%2B-+sqrt%2814%2A100+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%2850+%2B-+10sqrt%2814+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+%2825+%2B-+5sqrt%2814+%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+5%285+%2B-+sqrt%2814+%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "\"t+=+5%285+%2B+sqrt%2814+%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+5%285+%2B+3.741657386773941%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+5%288.741657386773941%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"t+=+43.7+\"\r
\n" ); document.write( "\n" ); document.write( "the projectile be \"5000\" ft above the ground after approximately \"+43.7+\" seconds\r
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