You and your pet dog spot are walking east along the edge of a dense forest (the

Question

You and your pet dog spot are walking east along the edge of a dense forest (the forst is in quadrants I and II). Spot sees a bird and runs north into the forest with a constant speed of V0dog = 10m/s. Let this initial moment be t=0, and spot's initial position be at the origin. After 20 seconds, you hear spot bark indicating that he has caught the bird and stopped. During the 20 seconds, you remained walking east (along the x-axis from the origin) at a speed of Voyou = 1.2m/s.

A. In unit vector notation, what is spots initial position vector from the origin (include units)?

B. In unit vector notation, what is your position vector from the origin (include units)?

C. What is the displacement vector from spot to you (include units)?

D. What is the magnitude and direction of displacement vector in part (c) (include units)?

Explanation / Answer

given

spot runs north vo = 10 m/s

after t = 20 s

persons speed v = 1.2 m/s to east

a. in unit vector notation

from origin spot's position vector = 10*t = 200 j m

b. person's location = 1.2*t = 24 i m

c. displacement vectro from spot to person r = rp - ro = 24i - 200 j

d. magnitude = sqroot(24^2 + 200^2) = 201.43485

direction = arctan(rd/rp) = 83.157226587 south of east

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