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A student bikes to school by traveling first 700.0 m north, then 600.0 m west, a

ID: 2136169 • Letter: A

Question

A student bikes to school by traveling first 700.0 m north, then 600.0 m west, and finally 100.0 m south.



A) If a bird were to start out from the origin (where the student starts) and fly directly (in a straight line) to the school, what distance db would the bird cover?
db=
B) What is the y component of the displacement vector dN corresponding to the first leg of the student's trip?
dNy=
C) What is the x component of the final displacement vector db?
dbx=
D) What is the y component of the final displacement vector db?
dby=
E) Finally, find ?, the angle north of west of the path followed by the bird in degrees. Express degrees as "deg".
? =

A student bikes to school by traveling first 700.0 m north, then 600.0 m west, and finally 100.0 m south.

Explanation / Answer

a)
Rnet = 700j - 600i - 100j = -600i + 600j
d = sqrt(600^2 + 600^2) =848.53 m

b) y = 700 m

c) x-compo = -600 m

d) y - compo = 600m

e) angle - tan-1(600/600) = 45 degrees

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