document.write( "Question 118401: Please assist me with this question. Iam taking beginning algebra online and the book does not give a example of hoe to answer word problems. \r
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document.write( "If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth? \n" );
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Algebra.Com's Answer #86516 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth? \n" ); document.write( "--------------------- \n" ); document.write( "h(t) = -16t^2+vot+so \n" ); document.write( "Your Problem: \n" ); document.write( "h(t) = -16t^2+26t+13 \n" ); document.write( "--------------- \n" ); document.write( "h(t) will be zero when the object reaches the ground. \n" ); document.write( "You need to solve h(t)=0 \n" ); document.write( "-16t^2+26t+13 = 0 \n" ); document.write( "Use the quadratic formula to solve for \"t\": \n" ); document.write( "t = [-26 +- sqrt(26^2-4*-16*13)/(-32) \n" ); document.write( "t = [-26 +- sqrt(1508)]/-32 \n" ); document.write( "Positive answer: \n" ); document.write( "t = [-26-38.833]/-32 \n" ); document.write( "t = [-64.8330]/(-32) \n" ); document.write( "t = 2.026 seconds \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |