Question

Sruthi travels 7 km towards east then travels
25 km south. She then travels 10 km towards east
and then travels 6 km towards her right. After this
she travels 3 km towards west and stops. How far is
she from starting point in vertical direction, in
kilometers?
(A) 30 (B) 31 (C) 32 (D) 33 (E) 37​

Answer 1

Answer:

Sruthi is at a distance of 31km from starting point in vertical direction

Explanation:

Given that,

Sruthi travels 7 km towards east then travels

25 km south==>Displacement vector=7i-25j

She then travels 10 km towards east

and then travels 6 km towards her right. ==>Displacement vector=10i-6j

she travels 3 km towards west and stops.

==>Displacement vector= -3i

Sum of all displacement vectors=14i-31j

The vertical component of vector is |-31|=31km

Therefore,Sruthi is at a distance of 31km from starting point in vertical direction

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