Not sure why I can't use v=v0 + at on this problem.

[remcalister]

Homework Statement

Freight trains can produce only relatively small acceleration and decelerations.

(a) What is the final velocity of a freight train that accelerates at a rate of 0.0400 m/s^2 for 8.00 min, starting with an initial velocity of 4.00 m/s?

Homework Equations

v=v0 + at
x=x0 +v0t +1/2at^2
v^2=v0^2 +2a(x-x0)

The Attempt at a Solution

Why can't i use the first equation I listed to solve this problem? Using that equation, you end up with v = 76.8 m/s

If you first use the second equation, and then the third equation, you end up with v = 23.2 m/s

Thanks in advance!

 

[billy_joule]

The first eqn gives the same as the 2nd and third.

v = 76.8 m/s is wrong, 23.2 m/s is right you may have pressed a wrong button on your calculator.

v=v0 + at
v = 4 m/s + (0.04 m/s^2)*(8 min * 60s/min) = 23.2 m/s

 

[olivermsun]

The first equation is exactly what you're supposed to use. Using the second and third seems roundabout.

But how are you getting 76.8 m/s with the first equation? Can you show your work?

 

[remcalister]

Oh goodness, it's been a long weekend haha. I accidentally set it up as 4 m/s TIMES (0.04m/s^2)(480s).

Thanks guys