Train at constant acceleration between two velocity points

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
3 replies · 2K views
dd12
Messages
2
Reaction score
0

Homework Statement



A train at constant acceleration is traveling in a straight line. It passes two points at a velocity of 50km/h and 80km/h respectively. What is the exact velocity of the train when it is halfway between these two points?

Let v be the exact velocity of the train when it is halfway between these two points

(Must be solved using two simultaneous equations)

Thanks! :)

Homework Equations





The Attempt at a Solution

 

Discussion

Physics news on Phys.org
So what have you tried?
 
Using formula V^2=(V(0))^2+2*a*s
where a is acceleration, s is displacement, v is velocity, V(0) is initial velocity:

80^2=50^2+2as (1)
M^2=50^2+(1/2)*2*as (2)

where M is the velocity at halfway

Solved them simultaneously and got M=5*sqrroot(178)
 
You got the right answer...