document.write( "Question 630392:  Q: A skydiver who jumps from a plane gains speed while falling.  For one jump, altitude readings were made every ten seconds until the parachute opened.  Known data includes:
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document.write( "Started at altitude of 500 meters; drops 70 meters every 10 seconds.  I need to write an algebraic equation to represent the data showing the altitude at 65 seconds.  I have already done the graph, analyzed the information and determined the altitude would be 45 meters at the 65 second mark.  I have tried multiple formulas to represent the facts but in proving my equations, they are incorrect.  I need to write this data in an algebraic equation, can you help?  Thanks (in advance) \n" );
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| Algebra.Com's Answer #396887 by Alan3354(69443)     You can put this solution on YOUR website! A skydiver who jumps from a plane gains speed while falling. For one jump, altitude readings were made every ten seconds until the parachute opened. Known data includes: \n" ); document.write( "Started at altitude of 500 meters; drops 70 meters every 10 seconds. I need to write an algebraic equation to represent the data showing the altitude at 65 seconds. I have already done the graph, analyzed the information and determined the altitude would be 45 meters at the 65 second mark. I have tried multiple formulas to represent the facts but in proving my equations, they are incorrect. I need to write this data in an algebraic equation, can you help? \n" ); document.write( "======================================== \n" ); document.write( "If the rate of falling is consistent at 70 m per 10 seconds, then that's the \"terminal velocity.\" Gravity's acceleration is balanced by air resistance, and the rate of falling is constant at 7 m/sec. \n" ); document.write( "----- \n" ); document.write( "Using 500 meters as a starting point, \n" ); document.write( "h(t) = 500 - 7t, h in meters, t in seconds. \n" ); document.write( "At t = 65, \n" ); document.write( "h(65) = 500 - 455 = 45 meters \n" ); document.write( "--------------- \n" ); document.write( "If 500 meters is the altitude when he leaves the aircraft, there's an error due to the fact that it takes time to accelerate to the terminal velocity. \n" ); document.write( "If 500 meters is where you start to take the measurment after reaching terminal velocity, then it's \n" ); document.write( "h(t) = 500 - 7t \n" ); document.write( " \n" ); document.write( " |