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Velocity(Speed with Direction)

A person 𝐴 i...

Question

A person 𝐴 is sitting in one train while another person 𝐵 is in the second train. The trains are moving with velocities $60 m / s$ and $40 m / s$ , respectively, in the same direction. Then the velocity of 𝐵 relative to 𝐴 will be

A

100 m / s

in the direction opposite to that of trains

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B

20 m / s

in the direction opposite to that of the train

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C

100 m / s

in the direction of trains

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D

20 m / s

in the direction of trains

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Solution

The correct option is B $20 m / s$ in the direction opposite to that of the train
Assuming the direction of moving train is $+ x$ .
Given, ${\to v}_{A} = 60^i m / s$
${\to v}_{B} = 40^i m / s$
${\to v}_{B A} = {\to v}_{B} - {\to v}_{A}$
${\to v}_{B A} = 40^i - 60^i$
${\to v}_{B A} = 20 (-^i)$

Final Answer: (d)

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Velocity(Speed with Direction)

Standard IX Physics

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