SOLUTION: 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

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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.
How is the answer to this question d(t) = 20%2Asqrt%2813t%5E2%2B8t%2B4%29
Answer by stanbon(75887) About Me  (Show Source):
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.
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East-bound car DATA:
rate = 40 mph ;time = t hrs. ; distance = 40t miles
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North-bound car DATA:
rate = 60 mph ; time = t hrs ; distance = 60t miles
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distance = sqrt((40t)^2+(60t)^2)
distance = sqrt[5200t^2] = 200t*sqrt(13)
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Cheers,
Stan H
How is the answer to this question d(t) = 20%2Asqrt%2813t%5E2%2B8t%2B4%29