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): d; = (7 i + 8 j)km, dɔ = (6 i + 2 j)km, and d; = (2 i + 9 j)km. (b): Write the total displacement vector drotal 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.

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Answer all parts of the question, polar coordinate is degrees

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):

\[
\mathbf{d_1} = (7 \, \mathbf{i} + 8 \, \mathbf{j}) \text{ km}, \quad \mathbf{d_2} = (6 \, \mathbf{i} + 2 \, \mathbf{j}) \text{ km}, \quad \text{and} \quad \mathbf{d_3} = (2 \, \mathbf{i} + 9 \, \mathbf{j}) \text{ km}.
\]

(b): Write the total displacement vector \( \mathbf{d_{total}} \) for the three days in Cartesian and polar coordinates. Give your answer in meters. Your answer should look similar to the three displacement 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.
Transcribed Image Text: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): \[ \mathbf{d_1} = (7 \, \mathbf{i} + 8 \, \mathbf{j}) \text{ km}, \quad \mathbf{d_2} = (6 \, \mathbf{i} + 2 \, \mathbf{j}) \text{ km}, \quad \text{and} \quad \mathbf{d_3} = (2 \, \mathbf{i} + 9 \, \mathbf{j}) \text{ km}. \] (b): Write the total displacement vector \( \mathbf{d_{total}} \) for the three days in Cartesian and polar coordinates. Give your answer in meters. Your answer should look similar to the three displacement 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.
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