*32. ao A jogger travels a route that has two parts. The first is a dis- placement A of 2.50 km due south, and the second involves a displace- ment B that points due east. (a) The resultant displacement à + B has a magnitude of 3.75 km. What is the magnitude of B, and what is the direction of A + B relative to due south? (b) Suppose that à – B had a magnitude of 3.75 km. What then would be the magnitude of B, and what is the direction of Ả – B relative to due south?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter3: Vectors
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Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...
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*32. ao A jogger travels a route that has two parts. The first is a dis-
placement A of 2.50 km due south, and the second involves a displace-
ment B that points due east. (a) The resultant displacement à + B has
a magnitude of 3.75 km. What is the magnitude of B, and what is the
direction of A + B relative to due south? (b) Suppose that à – B had a
magnitude of 3.75 km. What then would be the magnitude of B, and what
is the direction of Ả – B relative to due south?
Transcribed Image Text:*32. ao A jogger travels a route that has two parts. The first is a dis- placement A of 2.50 km due south, and the second involves a displace- ment B that points due east. (a) The resultant displacement à + B has a magnitude of 3.75 km. What is the magnitude of B, and what is the direction of A + B relative to due south? (b) Suppose that à – B had a magnitude of 3.75 km. What then would be the magnitude of B, and what is the direction of Ả – B relative to due south?
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