a. 30km[315o,CCW] = 21.21 - 21.21i.
b. 60km[60o,CCW] = 30 + 52i.
R = 21.21-21.21i + 30+52i = 51.2 + 30.8i.
An archiolohist begins a first trip by first walking 30km southeast from the campsite. He stops and sets up a temporal camp for the night.On the second day, he walks 60 km in direction 60degrees northeast, at which point he discovers the ancient city of gold.
(a) detaimine the components of the acheologist's desplacement for the day.
(b) detaimine the components of the acheologist desplacement R for the trip. Find the expression for R in terms of unit vectors.
2 answers
Convert to unit Vector: (51.2,30.8).
Tan A = Y/X = 30.8/51.2 = 0.60062, A = 31o.
R = = X/Cos A = 51.2/Cos31 = 59.7km[31o].
(x/59.7,y/59.7) = (51.2/59.7,30.8/59.7) = (0.86,0.52).
Tan A = Y/X = 30.8/51.2 = 0.60062, A = 31o.
R = = X/Cos A = 51.2/Cos31 = 59.7km[31o].
(x/59.7,y/59.7) = (51.2/59.7,30.8/59.7) = (0.86,0.52).
1 answer