The magnitude of the maximum acceleration of a passenger train is typically 1.3

Question

The magnitude of the maximum acceleration of a passenger train is typically 1.3 m/s^2 but the driver usually maintains an acceleration that is less than the maximum.  A train travels through a congested part of town at 4.0 m/s.  Once free of this area it speeds up to 14 m/s in 8.0 s.  At the edge of town the driver again accelerates with the same acceleration for another 16 s to reach cruising speed.  What is the final speed?  Please express answer with two significant figures and correct units.

Explanation / Answer

acceleration a = (14.0 - 4.0)/8.0 = 1.25 m/s2 final speed = 14 + 1.25*16 = 34 m/s

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