How Do You Calculate Train Acceleration and Distance Between Stations?

[John O' Meara]

A train starts from a station A, and moves with uniform acceleration. In 1.5 minutes it passes a station B, and 1 minute later another station C. If the distance between B and C is 1,200 yards, find (a) the acceleration of the train, (b) the distance between A and B.
I do not know how to find the acceleration!
The formulae are: v=u+at; s=ut+1/2at^2; v^2=u^2+2as;
where: v= final velocity, in ft/s,
u= initial velocity, in ft/s,
a= acceleration, in ft/s/s,
t= time in seconds.
Thanks in advance.

 

[NateTG]

Can you find the average velocity of the train during the last minute?

 

[John O' Meara]

Thanks for the quick reply, and that solves my problem

 

[Lyuokdea]

try using the equation s=u*t+1/2a*t^2

first find u given the contraints of the problem. Now you want to find the train's acceleration: what two pieces of information do you have in order to get the acceleration of the train? Think about assigning the distance from station A to B as a variable and using that in order to find the acceleration between the two points you know.

~Lyuokdea