Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 22
Chapter 4, Problem 81(choose chapter or problem)
Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 22 km/h toward the south, and ship B has a velocity of 40 km/h in a direction \(37^{\circ}\) north of east.
(a) What is the velocity of A relative to B in unit-vector notation with \(\hat{\mathrm{i}}\) toward the east?
(b) Write an expression (in terms of \(\hat{\mathrm{i}}\) and \(\hat{\mathrm{j}}\)) for the position of A relative to B as a function of t, where t = 0 when the ships are in the positions described above.
(c) At what time is the separation between the ships least?
(d) What is that least separation?
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