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A girl walks 4 km towards west, then she walks 3 km in a direc

Question

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

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A girl walks 4 km towards west, then she walks 3 km in a direction

30 o

east of north and stops. Determine the girls displacement from her initial point of departure.

12 mins ago

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12 mins ago

Text solutionVerified

Solution:

a = 4 (- \hat{i}) k m

b = 3 (sin 30^{o} \hat{i} + cos 30^{o} \hat{j}) k m

3 (\frac{1}{2} \hat{i} + \frac{3}{2} \hat{j})

(\frac{3}{2} \hat{i} + \frac{3 3}{2} \hat{j})

distance between them
=

a + b

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

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

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Question Text	A girl walks 4 km towards west, then she walks 3 km in a direction $30 o$ east of north and stops. Determine the girls displacement from her initial point of departure.
Answer Type	Text solution:1
Upvotes	150