document.write( "Question 344580: Car A passes point O heading east at a constant rate of 40 mi/h; car B passes the same point 1 hour later heading north at a constant rate of 60 mi/h. Express the distance between the cars as a function of time t, where t is measured starting when car B passes point O. \r
\n" ); document.write( "\n" ); document.write( "How is the answer to this question d(t) = $\"20%2Asqrt%2813t%5E2%2B8t%2B4%29\"$ \n" ); document.write( "

Algebra.Com's Answer #246556 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Car A passes point O heading east at a constant rate of 40 mi/h; car B passes the same point 1 hour later heading north at a constant rate of 60 mi/h. Express the distance between the cars as a function of time t, where t is measured starting when car B passes point O.
\n" ); document.write( "---
\n" ); document.write( "East-bound car DATA:
\n" ); document.write( "rate = 40 mph ;time = t hrs. ; distance = 40t miles
\n" ); document.write( "----
\n" ); document.write( "North-bound car DATA:
\n" ); document.write( "rate = 60 mph ; time = t hrs ; distance = 60t miles
\n" ); document.write( "--------------------------
\n" ); document.write( "distance = sqrt((40t)^2+(60t)^2)
\n" ); document.write( "distance = sqrt[5200t^2] = 200t*sqrt(13)
\n" ); document.write( "--------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H \r
\n" ); document.write( "\n" ); document.write( "How is the answer to this question d(t) = $\"20%2Asqrt%2813t%5E2%2B8t%2B4%29\"$ \n" ); document.write( "

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