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Related Rates Calculus Problem?
One ship A is sailing due south at 16 miles per hour and a second ship B, 32 miles south of A is sailing due east at 12 miles per hour. At what rate are they approaching or separating at the end of one hour?
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- ?Lv 79 years agoFavorite Answer
s^2 = (32-16t^2)+(12t)^2
s^2 = 256t^2-880t+1024
When t = 1, s = 20 miles
2sds/dt = 512t-880
ds/dt = (512-880)/40
ds/dt = -9.2 mph
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