Answer:
[tex]53.6\,i+53.6\,j[/tex]
Explanation:
The mathematical notation for the displacement vector R is given by
[tex]R \,\cos \theta \,i+R \,\sin\theta\,j[/tex]
Now a bird flies straight northeast a distance of 75.8 km for 3.5 h such that x-axis points towards east and the y-axis points towards north.
Put [tex]R=75.8[/tex] and [tex]\theta =45[/tex][tex]75.8 \,\cos 45\° \,i+75.8 \,\sin45\°\,j=\frac{75.8}{\sqrt{2} } i+\frac{75.8}{\sqrt{2} } j=53.6\,i+53.6\,j[/tex]
Therefore,
Displacement vector is given by
