Question 377236
Two cars start moving from the same point at the same time. One travels south at 60 mph and the other travels west at 25 mph. At what rate are the cars moving apart 2 hours later
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They make a right triangle.
One leg, southbound, = 60t
The 2nd leg = 25t
{{{d = sqrt( (60t)^2 + (25t)^2)}}}
{{{d = t*sqrt(4225) = 35t}}}
dd/dt = 35 mph
They are moving apart at 35 mph at all times.