document.write( "Question 440406: A diver is standing on a platform 24 ft above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. How long will it take for him to hit the water.
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Algebra.Com's Answer #304233 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A diver is standing on a platform 24 ft above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. How long will it take for him to hit the water. \n" ); document.write( ". \n" ); document.write( "general form of equation: \n" ); document.write( "h(t) = -32t^2 + vt + vo \n" ); document.write( "where \n" ); document.write( "h(t) is height at time t \n" ); document.write( "t is time \n" ); document.write( "v is initial velocity \n" ); document.write( "vo is initial height \n" ); document.write( ". \n" ); document.write( "h(t) = -32t^2 + 8t + 24 \n" ); document.write( "He hits the water when h(t) is zero: \n" ); document.write( "0 = -32t^2 + 8t + 24 \n" ); document.write( "0 = 4t^2 - t - 3 \n" ); document.write( "0 = (4t+3)(t-1) \n" ); document.write( "t = {-3/4, 1} \n" ); document.write( "we can throw out the negative solution leaving: \n" ); document.write( "t = 1 second\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |