document.write( "Question 246671: A ball is dropped from a height of 64 feet. Its height above the earth in feet is given by h(t ) = -16t2 + 64, where t is the number of seconds after it is dropped.
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document.write( "a) Find h(1).
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document.write( "b) How long does it take the ball to fall to the earth?
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Algebra.Com's Answer #180081 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A ball is dropped from a height of 64 feet. Its height above the earth in feet is given by h(t ) = -16t^2 + 64, where t is the number of seconds after it is dropped. \n" ); document.write( "a) Find h(1). \n" ); document.write( "Simply substitute t with a 1 and solve: \n" ); document.write( "h(1) = -16(1)^2 + 64 \n" ); document.write( "h(1) = -16(1) + 64 \n" ); document.write( "h(1) = -16 + 64 \n" ); document.write( "h(1) = 48 feet \n" ); document.write( ". \n" ); document.write( "b) How long does it take the ball to fall to the earth? \n" ); document.write( "Simply substitute h(t) with a 0 and solve for t-- height when it falls to earth. \n" ); document.write( "0 = -16t^2 + 64 \n" ); document.write( "16t^2 = 64 \n" ); document.write( "t^2 = 64/16 \n" ); document.write( "t^2 = 4 \n" ); document.write( "t = 2 seconds\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |