Physics

Physics

Problem

A train starts from station A (taken as origin) and travels along a straight track as follows: (i) 15 min15\,\text{min} at 60 km h−160\,\text{km\,h}^{-1} east, (ii) 10 km10\,\text{km} east in 8 min8\,\text{min}, (iii) 12 min12\,\text{min} at 30 km h−130\,\text{km\,h}^{-1} west, (iv) 4 km4\,\text{km} west in 4 min4\,\text{min}. Which one of the following pairs correctly gives its average speed and the magnitude of its average velocity for the entire journey? a) 35.0 km h−1;  23 km h−135.0\,\text{km\,h}^{-1};\;23\,\text{km\,h}^{-1} b) 53.8 km h−1;  0 km h−153.8\,\text{km\,h}^{-1};\;0\,\text{km\,h}^{-1} c) 53.8 km h−1;  23 km h−153.8\,\text{km\,h}^{-1};\;23\,\text{km\,h}^{-1} d) 23.0 km h−1;  23 km h−123.0\,\text{km\,h}^{-1};\;23\,\text{km\,h}^{-1}

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