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Problem 5 A surveying team records the following displacement vectors on three days (24 hour days)...
Problem 5
A surveying team records the following displacement vectors on three days (24 hour days) of walking, each one in succession (1, then 2, then 3) (Give 2 significant figures):
d1 = (7 i + 8 j)km, d2 = (6 i + 2 j)km, and d3 =
(2 i + 9 j)km.
(a): Sketch these vectors on a Cartesian plane. Hint: The
vectors should all be connected
head-to-tail.
(b):Write the total displacement vector d(total) for the three days in Cartesian and polar coordinates give your answer in meters. Your answer should look similar to the three dis- placement vectors given above.
(c): Assuming the members of the team could continuously survey for a full 5 days without sleeping, determine the average velocity vector of the team throughout the first three days in Cartesian coordinates. Answer in m/s.
(d): If the team were to continue to move in the direction of the total displacement vector at the same average velocity as the first 3 days, what would be the final displacement vector after a full 5 days of surveying?
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