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Relative Velocity in 2D

Two trains of...

Question

Two trains of length $500 m$ and $1000 m$ moving in opposite direction with same speed crosses each other in $10 s e c$ , find their speed :

A

75 m / s

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B

150 m / s

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C

100 m / s

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D

None of these

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Solution

The correct option is A $75 m / s$
Relative displacement $= 1000 m + 500 m = 1500 m$
Relative velocity $V^{1} + V^{2} = 2 V$
Relative velocity= $\frac{Re l a t i v e d i s p l a c e m e n t}{T i m e}$
$\begin{matrix} 2 V = \frac{1500 m}{10 s} v = 75 m / s \end{matrix}$
Speed of each train is $75$ m/s.

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