Posted by I. Newton on September 12, 2002 at 09:04:56:
In Reply to: Please show us your attempts (n/t) posted by Subhotosh Khan on September 11, 2002 at 17:03:38:
I created a right triangle to represent the problem with one leg equal to 600t and the other equal to 300-500t.
I then set the distance equal to the SQRT[ (600t)^2 + (300-500t)^2].
Next I took the derivative of this distance with respect to t, time.
1/2 * ( U )^-.5 * du
(.5(610,000t^2 - 300,000t + 90,000)^-.5 ) * ( 1,220,000t - 300,000)
I then solved for d/dt at .25 and got 43.5
Is this right??
: : Plane A is flying west at the rate of 600mph and a second plane B, 300 miles south of A, is flying north at the rate of 500 mph.
: : a) At what rate is the distance between the two planes changing after 15 minutes?
: : b) When do the planes cease to approach one another?
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