Question

Learning Goal: To be able to add and subtract vectors using geometric and vector addition A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled di 21.0 m at 01-29.5° from the tree then turned and traveled d2 11.5 m at 82 133°. Meanwhile, the sister traveled d3 18.5 m at an angle of 03-119° from the tree. The angles are given with respect to east with counterclockwise being defined as positive(Figure 1) Figure 4 of 4 Home Tree Boy and Girl Part C-Distance to home ▼ After the boy has found his sister, they want to travel the shortest path home. If their home is located d4 -95 m due north of the big tree, what is the magnitude and direction of the displacement from the siblings to their home, dBGH?(Figure 4) Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis View Available Hint(s) Hint 1. Resolving the displacements into components ▼ Because the home lies on the postive y axis, resolving its position vector relative to the tree into components is unnecessary. Use the final location of the brother and sister relative to the tree, which is equivalent to the location of the sister as given in the Introduction, to find the vector from the boy and girl to their home. Hint 2. Find the components of the displacement vector from the boy and girl to their home To find the components of the displacement vector, we take the components of the home's displacement from the tree and subtract from that the components of the siblings' displacement from the tree. What are the components of the displacement from the children to the home? Express your answers, separated by a comma, to three significant figures. vec BGHz dBGHy m, m Submit Request Answer

Answer 1

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