73_Physics ProblemsTechnical Physics

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

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74 Vectors P3.62 (a) You start at point A : rr i j 1 30 0 20 0 == A . ± . ± ej m. The displacement to B is i j i j i j BA =+−+=+ 60 0 80 0 30 0 20 0 30 0 100 . ± . ± . ± . ± . ±± . You cover half of this, 15 0 50 0 . ± . ± ij + to move to ri 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 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 rr r i j i j i j 32 2 3 45 0 30 0 1 3 55 0 40 0 26 7 16 7 =+ = + +− = + . ± . ± . ± . ± . ± . ± . The displacement from where you are to D is 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 i j i j i j 43 3 1 4 26 7 16 7 1 4 13 3 46 7 30 0 5 00 − = + + = + D bg . ± . ± . ± . ± . ± . ± . The displacement from your new location to E is r r ijij 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 . ± . ± , moving to i j i j i j 44 5 30 0 5 00 20 0
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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