Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving towards south with speed 108 km/h. Velocity of train B with respect to A and velocity of ground with respect to B are (in ms⁻¹): (a) -50 and -30 (b) -50 and 30 (c) -30 and 50 (d) 50 and -30

Answer: (b). North positive: vA = 72 × 5/18 = 20 m/s, vB = -108 × 5/18 = -30 m/s vBA = vB - vA = -30 - 20 = -50 m/s vGB = 0 - vB = +30 m/s So the answer is (b) -50 and 30.

Train A is moving along two parallel rail tracks towards north with… | JEE Main 2024 (1 Feb, Shift 2)

Q3JEE Main 2024 · 1 FEB · SHIFT 2Easy

Relative Velocity

Train A is moving along two parallel rail tracks towards north with speed $72\text{ km/h}$ and train B is moving towards south with speed $108\text{ km/h}$ . Velocity of train B with respect to A and velocity of ground with respect to B are (in $\text{ms}^{-1}$ ):

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Answer: (b)

North positive: $v_A = 72 \times \frac{5}{18} = 20\text{ m/s}$ , $v_B = -108 \times \frac{5}{18} = -30\text{ m/s}$
$v_{BA} = v_B - v_A = -30 - 20 = -50\text{ m/s}$
$v_{GB} = 0 - v_B = +30\text{ m/s}$
So the answer is (b) $-50$ and $30$ .

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