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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?

A. 26.8 m/s
B. 28.4 m/s
C. 30.2 m/s
D. 32.0 m/s

Answer :

Final answer:

The final velocity of the freight train is calculated to be 37.6 m/s using the kinematic equation. However, this does not match the provided answer choices.so, none of the given option is correct answer.

Explanation:

The final velocity of a freight train after accelerating for a certain period can be determined using the basic kinematic equation:

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

For the provided case, the train starts with an initial velocity of 4.00 m/s and accelerates at 0.0700 m/s² for 8.00 minutes. First, we need to convert the time from minutes to seconds to use consistent units:

8.00 min × 60 s/min = 480 s

Using the kinematic equation, we get:

v = 4.00 m/s + (0.0700 m/s² × 480 s)

v = 4.00 m/s + 33.6 m/s

v = 37.6 m/s

It seems there's an inconsistency with the provided answer choices since none of them correspond to the calculated final velocity of 37.6 m/s. The student should double-check the acceleration value or the question as there might be a typo or error in the given information.

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