How long will a passenger sitting near the window of SGR train at a speed of 360km/h see a local train passing by in the opposite direction with a speed of 100km/h? The length of the local train is 315m.
To find the time it takes for the local train to pass the window of the SGR train, we need to calculate the relative speed between the two trains.
Relative speed = Speed of SGR train + Speed of local train = 360km/h + 100km/h = 460km/h
Convert the relative speed to meters per second:
460 km/h = (460 × 1000) m / (3600 s) = 460000 m / 3600 s ≈ 127.78 m/s
Now we can calculate the time it takes for the local train to pass the window using the formula:
Time = Distance / Relative speed
Plugging in the values,
Time = 315m / 127.78 m/s ≈ 2.464 seconds
Therefore, a passenger sitting near the window of the SGR train will see the local train passing by in approximately 2.464 seconds.