73_Physics ProblemsTechnical Physics

73_Physics ProblemsTechnical Physics - 74 P3.62 Vectors(a e...

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74 Vectors P3.62 (a) You start at point A : r r i j 1 30 0 20 0 = = A . ± . ± e j m. The displacement to B is r r i j i j i j B A = + + = + 60 0 80 0 30 0 20 0 30 0 100 . ± . ± . ± . ± . ± ± . You cover half of this, 15 0 50 0 . ± . ± i j + e j to move to r i j i j i j 2 30 0 20 0 15 0 50 0 45 0 30 0 = + + = + . ± . ± . ± . ± . ± . ± . Now the displacement from your current position to C is r r i j i j i j C = − = − 2 10 0 10 0 45 0 30 0 55 0 40 0 . ± . ± . ± . ± . ± . ± . You cover one-third, moving to r r r i j i j i j 3 2 23 45 0 30 0 1 3 55 0 40 0 26 7 16 7 = + = + + = + . ± . ± . ± . ± . ± . ± e j . The displacement from where you are to D is r r i j i j i j D = = 3 40 0 30 0 26 7 16 7 13 3 46 7 . ± . ± . ± . ± . ± . ± . You traverse one-quarter of it, moving to r r r r i j i j i j 4 3 3 1 4 26 7 16 7 1 4 13 3 46 7 30 0 5 00 = + = + + = + D b g e j . ± . ± . ± . ± . ± . ± . The displacement from your new location to E is r r i j i j i j E = − + = − + 4 70 0 60 0 30 0 5 00 100 55 0 . ± . ± . ± . ± ± . ± of which you cover one-fifth the distance, + 20 0 11 0 . ± . ± i j , moving to r r i j i j i j 4 45 30 0 5 00 20 0 11 0 10 0 16 0 + = + + = + . ± . ±
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