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## Homework Statement

A light-rail train going from one station to the next on a straight section of track accelerates from rest at 1.4 { m/s^2} for 15 { s}. It then proceeds at constant speed for 1100 { m} before slowing down at 2.2 { m/s^2} until it stops at the station.

What is the distance between the stations?

How much time does it take the train to go between the stations?

## Homework Equations

(v

_{x})

_{f}= (v

_{x})

_{i}+ a

_{x}[tex]\Delta[/tex]t

x

_{f}= x

_{i}+ (v

_{x})

_{i}[tex]\Deltat[/tex] + 1/2a

_{x}([tex]\Deltat[/tex])

^{2}

(v

_{x})

_{f}

^{2}= (v

_{x})

_{i}

^{2}+2a

_{x}[tex]\Deltax[/tex]

## The Attempt at a Solution

I already know the answer but I can't figure out

*how*to get to the right answer...

d= 1400m

t=77s