Homework Help: AP Calculus

Posted by Rachael on Friday, January 18, 2013 at 1:24am.

Two ships sail from the same port. The first ship leaves port at 1:00a, and travels eastward at a rate of 15 knots. the second ship leave port at 2:00am and travels northward at a rate of 10 knots. Determine the rate at which the ships are separating at 3:00am

AP Calculus - Steve, Friday, January 18, 2013 at 4:38am
the distance d between the ships is

d^2 = x^2 + y^2
2d dd/dt = 2x dx/dt + 2y dy/dt
at 3:00 am, x=30 and y=10, d=10√10

20√10 dd/dt = 2(30)(15) + 2(10)(10)
dd/dt = 1100/10√10 = 110/√10 = 11√10

Answer this Question

Related Questions

Math - "A ship leaves port on a bearing of 34.0 degrees and travels 10.4 ...
Trig - A ship leaves its homeport and sails on a bearing of N28degrees10'E. ...
math - four diesel ships left a port at noon;january2,1953.the first ship ...
Math - A ship leaves port at 6 am travelling due east at 12mph. Another ship ...
Physics - Ports A and B are 400 miles apart. One boat starts from port A for ...
Physics - Ports A and B are 400 miles apart. One boat starts from port A for ...
physics - Ships A and B leave port together. For the next two hours, ship A ...
I NEED URGENT HELP!!! - A ship leaves port at 1:00 P.M. and sails in the ...
geometry - A ship leaves port and heads due east at a rate of 32 miles per hour...
TRIG HONORS CH: 5.8 - a ship leaves port with a bearing of S 42deg W after ...

For Further Reading

First Name:
School Subject:
Answer: