To find the velocity of the train, we need to convert the time from minutes to seconds, and then use the formula for uniformly accelerated motion:
v = u + at
where: v = final velocity u = initial velocity (assumed to be 0 m/s since the train starts from rest) a = acceleration (2 m/s^2) t = time (3 minutes, which is 3 * 60 = 180 seconds)
Substituting the values into the equation:
v = 0 + 2 * 180
v = 360 m/s
Therefore, the velocity of the train after accelerating uniformly at 2 m/s^2 for 3 minutes is 360 m/s.