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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 m s⁻¹)

Asked in JEE Main 1st Feb 2nd Shift 2024 · Relative velocity in one dimension

Answer: (2) -50 and 30

Step-by-step solution

North positive: v_A = +20 m/s, v_B = -30 m/s.

v_BA = v_B - v_A = -30 - 20 = -50 m/s.

v_ground,B = 0 - v_B = +30 m/s.

Why the other options are wrong

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