document.write( "Question 1177201: A balloon rising vertically with a velocity of 16 ft/s releases a sandbag. At an instant when the balloon is
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document.write( "64 ft above the ground.
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document.write( "(a) Compute the position and velocity of the sandbag at the following times after its release: ¼ sec, ½
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document.write( "sec, 1 sec, 2 sec.
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document.write( "(b) How may seconds after its release will the bag strike the ground?
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document.write( "(c) With what velocity will it strike? \n" );
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Algebra.Com's Answer #805733 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "There is one hidden feature in this problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This feature is the initial speed of the sandbag at the time moment of releasing.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This initial speed is 16 ft per second, directed vertically up at the release moment.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Taking it into account, the equation for the position / (the height) of the sandbag as a function of the time is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " h(t) = -16t^2 + 16t + 64.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Having it established, you have a standard problem on a projectile launched vertically up with the given velocity.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "After that, you can easily solve the problem and answer all the questions on your own.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this site, there is a bunch of lessons on a projectile thrown/shot/launched vertically up\r \n" ); document.write( "\n" ); document.write( " - Introductory lesson on a projectile thrown-shot-launched vertically up \r \n" ); document.write( "\n" ); document.write( " - Problem on a projectile moving vertically up and down\r \n" ); document.write( "\n" ); document.write( " - Problem on an arrow shot vertically upward\r \n" ); document.write( "\n" ); document.write( " - Problem on a ball thrown vertically up from the top of a tower \r \n" ); document.write( "\n" ); document.write( " - Problem on a toy rocket launched vertically up from a tall platform\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher. \n" ); document.write( "Read them attentively and learn how to solve this type of problems once and for all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Projectiles launched/thrown and moving vertically up and dawn\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |