A whale swims due east for a distance of 7.8 km, turns around and goes due west for 1.5 km and finally turns around again and heads 2.5 km due east. What is the total distance travelled by the whale? What are the magnitude and direction of the displacement of the whale?

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Distance travelled by the ehale =7.8+1.5+2.5=11.8 km Now let east direction is along x-axis Therefore, \vec{A}=7.8 \hat{i} \vec{B}=-1.5 \hat{i} \vec{C}=2,5 \hat{i} Therefore resultant displacement vector , \vec{D}=\vec{A}+\vec{B}+\vec{C}=(7.8-1.5+2.5)=8.8 \hat{i} Magnitude of displacement is 8.8 km and direction is along Eest. ...