High School

What is the final velocity (in m/s) of a freight train that accelerates at a rate of [tex]0.0300 \, \text{m/s}^2[/tex] for 8.00 minutes, starting with an initial velocity of [tex]4.00 \, \text{m/s}[/tex]?

Answer :

Final answer:

To find the final velocity of the freight train, use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in the given values, the final velocity is found to be 16.40 m/s.

Explanation:

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

final velocity (v) = initial velocity (u) + acceleration (a) * time (t)

Plugging in the given values:

  • Initial velocity (u) = 4.00 m/s
  • Acceleration (a) = 0.0300 m/s2
  • Time (t) = 8.00 min = 480.00 s

Using the equation, we get:

final velocity (v) = 4.00 m/s + (0.0300 m/s2) * 480.00 s

Simplifying the equation, we find that the final velocity of the freight train is 16.40 m/s.

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