document.write( "Question 889062: A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t^2 +V0t. Find the time(s) that the projectile will
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document.write( "(a) reach a height of 240ft and
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document.write( "(b) return to the ground when V0= 128 feet per second. \n" );
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Algebra.Com's Answer #538256 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t^2 +V0t. Find the time(s) that the projectile will \n" ); document.write( "(a) reach a height of 240ft and \n" ); document.write( "(b) return to the ground when V0= 128 feet per second. \n" ); document.write( "*** \n" ); document.write( "set height,s=240 \n" ); document.write( "(a) 240=-16t^2+128t \n" ); document.write( "-16t^2+128t-240=0 \n" ); document.write( "-t^2+8t-15=0 \n" ); document.write( "t^2-8t+15=0 \n" ); document.write( "(t-5)(t-3)=0 \n" ); document.write( "t=5 \n" ); document.write( "or \n" ); document.write( "t=3 \n" ); document.write( "projectile will reach a height of 240ft after 3 sec on the way up and after 5 sec on the way down \n" ); document.write( ".. \n" ); document.write( "set height,s=0 \n" ); document.write( "(b) -16t^2+128t=0 \n" ); document.write( "-t^2+8t=0 \n" ); document.write( "-t(t-8)=0 \n" ); document.write( "t=0 (reject) \n" ); document.write( "or \n" ); document.write( "t=8 \n" ); document.write( "projectile will return to the ground after 8 sec \n" ); document.write( " \n" ); document.write( " |