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speed of the train is ?? please help?
Two guns were fired from the same place at an interval of 10 minustes and 30 seconds, but a person in a train approaching the place hears second shot 10 minutes after the first. The speed of train (in km/hr), supposing that sound travels at 330m/s is ??
i just want to know why distance covered by sound in 30 seconds is equal to distance covered by train in 10 minutes ??
2 Answers
- 3 years agoFavorite Answer
think of it a little differently. maybe even draw it out, if it helps you
the sound from two bullets will always be a constant distance apart and a constant time apart
the train will have a steeper line (closer to vertical) the slower it is.... if it were going at zero speed, it would hear the bullets at 10 1/2 mins apart
if it were going very, very fat, the line would be less steep (closer to horizontal) and (ignoring problems with doppler shift) they would sound closer together
- ?Lv 73 years ago
The wavefront of the sound of the first shot travels at 330 m/s towards the train, arriving at some time t = 0 secs as noted on the train.
If the train was stationary the second shot would have been heard at t = 630 as heard on the train.
But in fact the train had been moving towards the gun position at v m/s and so the wavefront had less distance to travel. The result was the second shot was heard only 600 seconds later. That means the train was nearer by the amount sound travels in 30 secs which is 3,300 metres.
[That explained why distance covered by sound in 30 seconds is equal to distance covered by train in 10 minutes as you asked]
The train took 600 seconds to travel 3,300 metres so speed v = 5.5 metres/sec
If you want that in km/hr multiply by 3.6, so it is 19.8 km/hr