document.write( "Question 1101612: The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 50 mph can stop in 110 ft, how many feet will it take the same car to stop when it is traveling 100 mph? \n" ); document.write( "

Algebra.Com's Answer #716237 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+d+=+k%2Ar%5E2+\"$ where $\"+k+\"$ is the
\n" ); document.write( "constant of proportionality
\n" ); document.write( " $\"+110+=+k%2A50%5E2+\"$
\n" ); document.write( " $\"+k+=+110+%2F+2500+\"$
\n" ); document.write( " $\"+k+=+.044+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+d+=+.044%2Ar%5E2+\"$
\n" ); document.write( " $\"+d+=+.044%2A100%5E2+\"$
\n" ); document.write( " $\"+d+=+.044%2A10000+\"$
\n" ); document.write( " $\"+d+=+440+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "The car will stop in 440 ft
\n" ); document.write( "------------------------
\n" ); document.write( "Note that the units on the left must be
\n" ); document.write( "the same as the units on the right
\n" ); document.write( "[ ft ] = [ k ] x [ mi^2 / hrs^2 ]
\n" ); document.write( "So in order to balence the units, $\"+k+\"$
\n" ); document.write( "must have units of:
\n" ); document.write( "[ [ ft x hrs^2 ] / [ mi^2 ]
\n" ); document.write( " \n" ); document.write( "

\n" );