document.write( "Question 211578This question is from textbook
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document.write( ": Can someone please help me with this \"ballistics word problem?
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document.write( "The height of a projectile fired upward with an initial velocity of 400 ft per sec is given by the formula h=-16t^2+400t, where h is the height in ft and t is the time in sec. Find the time required for the projectile to return to earth.
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document.write( "Please show me the steps and please get back before Tues 10am
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document.write( "Thank you so much \n" );
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Algebra.Com's Answer #159869 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The height of a projectile fired upward with an initial velocity of 400 ft per sec is given by the formula h=-16t^2+400t, where h is the height in ft and t is the time in sec. Find the time required for the projectile to return to earth. \n" ); document.write( ": \n" ); document.write( " h = -16t^2 + 400t \n" ); document.write( "When the projectile returns to earth, h = 0, therefore: \n" ); document.write( " -16t^2 + 400t = 0 \n" ); document.write( "factor out -16x \n" ); document.write( "-16t(t - 25) = 0 \n" ); document.write( "our solution \n" ); document.write( "t = 25 sec to return to earth \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original equation \n" ); document.write( " -16(25^2) + 400(25) = \n" ); document.write( "-16(625) + 10000 = \n" ); document.write( "-10000 + 10000 = 0 \n" ); document.write( " |