What is the final velocity of a freight train that accelerates at a rate of 0.0460 m/s² for 8.00 minutes, starting with an initial velocity of 4.00 m/s? (The acceleration is positive.)

Using the formula for final velocity in constant acceleration, we find the final velocity of the freight train to be 26.08 m/s after accelerating at a rate of 0.0460 m/s² for 8.00 minutes.

Explanation:

The final velocity of the train can be calculated using the formula for final velocity based on constant acceleration:

Final velocity (v) = Initial velocity (u) + acceleration (a) * time (t)

. Given that the initial velocity is 4.00 m/s, the acceleration is 0.0460 m/s² and the time is 8.00 min (which is 480 seconds when converted), we'll substitute these values in to find the final velocity.

v = 4.00 m/s + 0.0460 m/s² * 480 s

Evaluating this expression will give the final velocity.

v = 26.08 m/s

Therefore, the final velocity of the freight train after accelerating at a rate of 0.0460 m/s² for 8.00 minutes is 26.08 m/s.

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