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° north of east. (a) What is the velocity of A relative to B in unit-vector notation with toward the east? (b) Write an expression (in terms of and ) 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?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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° north of east. (a)
What is the velocity of A relative to B in unit-vector notation
with toward the east? (b) Write an expression (in terms of and )
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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