class 11 physics motion in a plane numerical...
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A train running at the speed of 60 km/hr. It crosses a certain pole that is in the way in 9 seconds. What is the length of the train?
We have the speed of the train = 60 km/hr. We have to convert it into m/s. Let us see the trick to convert km/hr to m/s:
1km/1h = 1×(1000/60×60) = 1×(5/18) m/s.
Therefore if the speed is ‘x’ km/hr then we can change it to m/s by multiplying x with 5/18. Let us do it for the current example.
We have the speed of the train = 60 km/hr or 60×(5/18) = 50/3 m/s.
Therefore in 9 seconds, the train will cover a distance = speed×time
In other words, we have the Distance = (50/3 m/s)×9 = 150 m.
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