Question

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):

d​1 ​= (7 ​i ​+ 8 ​j​)km, ​d​2 ​= (6 ​i ​+ 2 ​j​)km, and ​d​3 ​= (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) f​or 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?

Answer 1