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...

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 train   passed B

1 Answer | Add Yours

jeew-m's profile pic

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.

 

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)
Sources:

We’ve answered 318,988 questions. We can answer yours, too.

Ask a question