Physics! Components!?
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A dragonfly flies from point A to B along the path shown in the figure in 2.20s. (copy and paste link for image of graph) http://session.masteringphysics.com/problemAsset/1262906/1/1012367.jpg 1) Find the X and Y components of its position vector at point A. (Please show me how to do it) 2) What is the magnitude of its position vector at A? 3) What is the direction of its position vector at A? 4) Find the X and Y components of the dragonfly's average velocity between A and B?
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Answer:
1)A(X)=2.0m (read from the graph),Similarly,A(Y)=1.0m 2)mag=sqrt(A(X)^2 + A(Y)^2) = 2.236 m 3)arctan(A(Y)/A(X))=26.565 degrees 4)B(X)=10.0m;B(Y)=6.0m So, x -comp=(B(X) - A(X))/T = 8.0/2.20 = 3.6 m/s y-comp = (B(Y) - A(Y))/T = 5.0/2.20 = 2.3 m/s
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