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  • A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. Determine the girl’s displacement from her initial point of departure.

Q3   A girl walks 4 km towards west, then she walks 3 km in a direction 30 \degree east of north and stops. Determine the girl’s displacement from her initial point of departure.

Answers (1)

best_answer

As the girl walks 4km towards west

Position vector =  -4\hat i 

Now as she moves 3km in direction 30 degree east of north.

-4\hat i+3sin30^0\hat i+3cos30^0\hat j

-4\hat i+\frac{3}{2}\hat i+3\frac{\sqrt{3}}{2}\hat j

\frac{-5}{2}\hat i+3\frac{\sqrt{3}}{2}\hat j

hence final position vector is;

\frac{-5}{2}\hat i+3\frac{\sqrt{3}}{2}\hat j

Posted by

Pankaj Sanodiya

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