Distance and time between 2 train stations

[sktgurl930]

Homework Statement

A light-rail train going from one station to the next on a straight section of track accelerates from rest at 2.27 m/s2 for 15.7 s/ It then proceeds at constant speed for 1346 m before slowing down at 2.2 m/s2 until it stops at the station. What is the distance between the stations? and How much time does it take the train to go between the stations?

Homework Equations

I figured if i used A=v/t i could get v which i could plug into V=x/t and then get X being the distance in the start and then the distance in the middle would just be 1346 since it was given . having trouble figuring out how to get the last one

and for the time
i would think to use Δt=Δv/a

The Attempt at a Solution

ok so i got V= 35.639, and X to equal 559.5323
would the formula to find the stopping distance be Vf^2-Vi^2/2*(-2.2)?

 

[LowlyPion]

Homework Statement

A light-rail train going from one station to the next on a straight section of track accelerates from rest at 2.27 m/s2 for 15.7 s/ It then proceeds at constant speed for 1346 m before slowing down at 2.2 m/s2 until it stops at the station. What is the distance between the stations? and How much time does it take the train to go between the stations?

Homework Equations

I figured if i used A=v/t i could get v which i could plug into V=x/t and then get X being the distance in the start and then the distance in the middle would just be 1346 since it was given . having trouble figuring out how to get the last one

and for the time
i would think to use Δt=Δv/a

The Attempt at a Solution

ok so i got V= 35.639, and X to equal 559.5323
would the formula to find the stopping distance be Vf^2-Vi^2/2*(-2.2)?

Yes. Looks like you are on the right track.

I think your first distance is off though by a factor of 2.

 

[sktgurl930]

for my distance i get 2194.2001 m
and they said it was wrong so where do you think i went wrong??

 

[LowlyPion]

for my distance i get 2194.2001 m
and they said it was wrong so where do you think i went wrong??

I think your first distance is off though by a factor of 2. Did you catch my quick edit?

 

[sktgurl930]

lol no but thanks for helping me out ur really good at this
i got it now


Thank u soo much

 

[LowlyPion]

lol no but thanks for helping me out ur really good at this
i got it now


Thank u soo much

Happy to help.