# http://www.enotes.com/homework-help/train-100-metres-long-starts-from-rest-station-442022?qadded=1 Using this graph or otherwise, Find the velocity with which and the time at which the front of the...

Using this graph or otherwise,

Find the velocity with which and the time at which the front of the train   passed B

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

The distance traveled can be obtained from the area of the time-velocity graph. As we know when the train passes the post it will travel 100m in 10s. In the graph this region is a trapezoid and its area will be 100.

Area of trapezoid `= (11+V)/2xx10`

`(11+V)/2xx10 = 100`

`V = 9`

So the velocity of train at the start of post is 9m/s.

Using gradient of the graph we can say;

`V/T = 11/(T+10)`

`9/T = 11/(T+10)`

`T = 45s`

So the front of train will pass B after 45 seconds it started travel and with a velocity of 9m/s.

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