First slide

Relative velocity in 1-d

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

Moderate

A

100 m/s in the direction of trains
B

20 m/s in the direction of trains
C

100 m/s in the direction opposite to that of trains
D

20 m/s in the direction opposite to that of the trains

Solution

$\begin{array}{l} {\vec{v}}_{A} = 60 \hat{i}, {\vec{v}}_{B} = 40 \hat{i} \\ {\vec{v}}_{B / A} = {\vec{v}}_{B} - {\vec{v}}_{A} = 40 \hat{i} - 60 \hat{i} = - 20 \hat{i} \\ So direction is opposite to that of trains. \end{array}$

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