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Suppose you are riding a bike with a speed of 20 m/s due east relative to a person A who is walking on the ground towards east. If your friend B walking on the ground due west measures your speed as 30 m/s due east, find the relative velocity between two reference frames A and B.

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Velocity of A w.r.t B is 5 m/s towards west

Velocity of A w.r.t B is 10 m/s towards west

Velocity of A w.r.t B is 10 m/s towards east

Velocity of A w.r.t B is 5 m/s towards east

answer is C.

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Detailed Solution

$\vec{v} = A b s o l u t e v e l o c i t y o f m e = \overset{⇀}{v_{A}} + 20 \hat{i} = \vec{v_{B}} + 30 \hat{i} \Rightarrow \vec{v_{A B}} = \vec{v_{A}} - \vec{v_{B}} = 30 \hat{i} - 20 \hat{i} = 10 \hat{i}, (d u e e a s t)$

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