document.write( "Question 1087593: When an object is dropped from a height of 20.0 m above the surface of Planet Z, it will fall
\n" ); document.write( "5.00 m during the 2nd second of the fall. What is the acceleration near the surface of the
\n" ); document.write( "planet? \n" ); document.write( "

Algebra.Com's Answer #701896 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let  \"a\" be the unknown acceleration under the question, in m/s^2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then your equation is\r\n" );
document.write( "\r\n" );
document.write( " -  = 5.   (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The term   is the distance that freely falling body passes in two seconds.  (Remember the formula S =  from Physics ?)\r\n" );
document.write( "\r\n" );
document.write( "The term   is the distance that freely falling body passes in the first second.\r\n" );
document.write( "\r\n" );
document.write( "The difference is what you are given.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation (1) you have \r\n" );
document.write( "\r\n" );
document.write( "4a - a = 2*5,   or\r\n" );
document.write( "\r\n" );
document.write( "3a = 10,   which gives you  a =  =  m/s^2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The given value of the height 20 m  IS NOT RELEVANT  to the solution.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We can use it only to check whether our body will be still falling during 2 seconds:\r\n" );
document.write( "\r\n" );
document.write( " =  =  = 7 m.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Yes, it still be falling.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, we solved the problem correctly.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The acceleration near the surface of the planet is  =  m/s^2.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );