High School

What is the final velocity of a freight train that accelerates at a rate of [tex]0.0500 \, \text{m/s}^2[/tex] for [tex]8.00 \, \text{min}[/tex], starting with an initial velocity of [tex]4.00 \, \text{m/s}[/tex]?

A. [tex]17.0 \, \text{m/s}[/tex]
B. [tex]22.0 \, \text{m/s}[/tex]
C. [tex]27.0 \, \text{m/s}[/tex]
D. [tex]32.0 \, \text{m/s}[/tex]

Answer :

Final answer:

The final velocity of the freight train is 28.0 m/s.

Explanation:

To find the final velocity of the freight train, we can use the equation:

vf = vi + at

where:

  • vf = final velocity
  • vi = initial velocity
  • a = acceleration
  • t = time

Given that the initial velocity (vi) is 4.00 m/s, the acceleration (a) is 0.0500 m/s², and the time (t) is 8.00 min (which must be converted to seconds), we can plug in these values to find the final velocity (vf).

vf = 4.00 m/s + (0.0500 m/s²)(8.00 min)(60 s/min)

Calculating this expression gives us the final velocity of the freight train as 28.0 m/s.

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