Freight trains can produce only relatively small accelerations and decelerations. What is the final velocity (in m/s) of a freight train that accelerates at a rate of 0.0700 m/s² for 8.00 minutes, starting with an initial velocity of 4.00 m/s?

The final velocity of the freight train can be calculated using 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. Converting the time to seconds and plugging the values into the equation, the final velocity is found to be 37.6 m/s.

Explanation:

To find the final velocity of the freight train, we need to 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. Given that the initial velocity is 4.00 m/s, the acceleration is 0.0700 m/s², and the time is 8.00 min (which must be converted to seconds), we can calculate the final velocity as follows:

Convert time to seconds: 8.00 min * 60 s/min = 480 s
Plug the values into the equation: v = 4.00 m/s + (0.0700 m/s²)(480 s)
Calculate the final velocity: v = 4.00 m/s + 33.6 m/s = 37.6 m/s

Therefore, the final velocity of the freight train is 37.6 m/s.

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