MHT CET 2025 Physics question

PhysicsMotion in a PlaneMHT CET 2025

Two girls are standing at the ends 'A' and 'B' of a ground where AB = b. The girl at 'B' starts running in a direction perpendicular to 'AB' with velocity 'V'. The girl at 'A' starts running simultaneously with velocity 'V' and in shortest distance meets the other girl in time 't'. The value of 't' is

Answer: (D)

Solution

Take A as origin and AB along the x-axis. In time t the girl from B moves perpendicular to AB through , so she is at . The girl from A runs in a straight line (shortest path) with speed and covers to meet her, so by Pythagoras . Hence

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Question ID VK-102623