document.write( "Question 1132126: There is a railroad track that is 5 km long and the rails are one metre apart. A child ties a can to a dog's tail and it starts running down the track, the dog's initial speed is one metre per second. the dog speeds up by one metre per second every time it heats the can hit a rail. assuming the can hits all the rails, what is the dog's speed at the end of the 5 km?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #749090 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "the dog's initial speed is $\"1%28m%2Fs%29\"$ \r
\n" ); document.write( "\n" ); document.write( " the dog speeds up by $\"1%28m%2Fs%29\"$ every time it heats the can hit a rail\r
\n" ); document.write( "\n" ); document.write( "The US standard railroad gauge (distance between the rails) is $\"4+\"$ feet= $\"1.2192m\"$
\n" ); document.write( " assuming the can hits all the rails, the number of the rails is:
\n" ); document.write( " $\"5000m%2F1.2192m=4101.049868766404=4101\"$ \r
\n" ); document.write( "\n" ); document.write( "assuming the can hits all the rails, it will be $\"4101\"$ times\r
\n" ); document.write( "\n" ); document.write( "so, dog will increase speed $\"4101\"$ times by $\"1%28m%2Fs%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " the dog's speed at the end of the $\"5km\"$ is initial speed plus increase:\r
\n" ); document.write( "\n" ); document.write( " $\"s=1%28m%2Fs%29%2B4101%28m%2Fs%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"s=4102%28m%2Fs%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );