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The driver of a train A moving at a speed of 30 mssights another train B moving on the same trackat a speed of 10 ms' in the same direction. Heimmediately applies brakes and achieves a uniformretardation of 2 ms2. To avoid collision, what mustbe the minimum distance between the trains?(a) 80m (b) 100m (c) 120m (d) 140 m2 |
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Answer» The relative speed between the two trains is : 30 - 10 = 20m/s This is the initial relative speed. When brakes are applied the train slows down. Given the acceleration = 2 m/s² u = 20 m/s With time the train comes to a sudden stop making the velocity 0. V² = U² - 2as 0 = 400 - 4s 400 = 4s S = 100m |
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