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A train travels along a straight horizontal track with constant acceleration. Points A,...

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saj-94 | Salutatorian

Posted August 6, 2013 at 8:49 AM via web

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A train travels along a straight horizontal track with constant acceleration. Points A, B and C are on the track with B between A and C. The distance AB is 1200 m and the distance BC is 2500 m. As the train passes B, its speed is 26ms–1. The train takes 60 s to travel from A to B.

a) Find the speed of the train as it passes A.

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

Posted August 6, 2013 at 9:01 AM (Answer #1)

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See the image attached with the following calculations.

Let us say the speed of train at A is Vm/s.

It is given that the distance between A and B is 1200m

The area of the time velocity graph represents the distance travelled.

`(V+26)/2xx60 =1200`

`V+26 = 40`

`V=14`

So the speed of the train at A is 14m/s

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