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.
