document.write( "Question 1200071: a body b is dropped from the top of the tower 100m high at the same instant that a body a is thrown vertically upward from the ground. the two bodies pass each other at a height of 21.6m from the ground.\r
\n" ); document.write( "\n" ); document.write( "a. Initial velocity og body A?
\n" ); document.write( "b. Maximum height of body A?
\n" ); document.write( "C. Final velocity of body B?
\n" ); document.write( "

Algebra.Com's Answer #834088 by ikleyn(52847)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "a body B is dropped from the top of the tower 100m high.
\n" ); document.write( "at the same instant that a body A is thrown vertically upward from the ground.
\n" ); document.write( "the two bodies pass each other at a height of 21.6m from the ground.
\n" ); document.write( "a. Initial velocity og body A?
\n" ); document.write( "b. Maximum height of body A?
\n" ); document.write( "C. Final velocity of body B?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The falling body B height equation is\r\n" );
document.write( "\r\n" );
document.write( "    h = \"-4.9%2At%5E2+%2B+100\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use it to find the time \"t\", when it reaches the height 21.6m\r\n" );
document.write( "\r\n" );
document.write( "    \"-4.9t%5E2+%2B+100\" = 21.6\r\n" );
document.write( "\r\n" );
document.write( "    \"4.9t%5E2\" = 100 - 21.6\r\n" );
document.write( "\r\n" );
document.write( "    t = \"sqrt%28%28100-21.6%29%2F4.9%29\" = 4 seconds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For the body A thrown vertically upward from the ground, the height equation is\r\n" );
document.write( "\r\n" );
document.write( "    h = \"-4.9t%5E2+%2B+vt\",\r\n" );
document.write( "\r\n" );
document.write( "where v is the unknown vertical initial velocity.  We just know that this body reached \r\n" );
document.write( "the height 21.6 meters in 4 seconds; so\r\n" );
document.write( "\r\n" );
document.write( "    21.6 = \"-4.9%2A4%5E2+%2B+v%2A4\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve this equation to find v\r\n" );
document.write( "\r\n" );
document.write( "    v = \"%2821.6+%2B+4.9%2A4%5E2%29%2F4\" = 25 m/s.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the answer to question (a): the initial velocity of body A is 25 m/s.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );