document.write( "Question 1176899: Emergency relief supplies was dropped from a helicopter flying at a height of 7.5 m while traveling at 15 m/s. Calculate the horizontal distance traveled by the package before it hits the ground. \n" ); document.write( "
Algebra.Com's Answer #805009 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the height that the package was dropped at is 7.5 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the helicopter is traveling at a horizontal speed of 15 meters per second.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the distance a package dropped in free fall is modeled by the formula:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 1/2 * 9.80665 * s^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d is the distance \n" ); document.write( "s is the number of seconds. \n" ); document.write( "9.80665 * s^2 is the free fall acceleration due to gravity.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when d = 7.5 meters, the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7.5 = 1/2 * 9.80665 * s^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of the equation by 2 and divide both sides of the equation by 9.80665 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7.5 * 2 / 9.80665 = s^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for s^2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s^2 = 7.5 * 2 / 9.80665 = 1.529574319.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s = sqrt(1.529574319) = 1.236759605.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how long it takes the package to hit the ground from a height of 7.5 meters in free fall.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the helicopter is traveling a horizontal distance at the constant rate of 15 meters per second, then the package will have traveled a horizontal distance of 15 meters per second * 1.236759605 seconds = 18.55139407 meters when it hits the grouond.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if i did this correctly, 18.55139487 meters should be your answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |