Light-rail passenger trains that provide transportation within and between citie

Question

Light-rail passenger trains that provide transportation within and between cities are capable of modest accelerations. The magnitude of the maximum acceleration is typically 1.3 m/s^2, but the driver will usually maintain a constant acceleration that is less than the maximum. A train travels through a congested part of town at 5.0 m/s. Once free of this area, it speeds up to 14 m/s
in 8.0s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16s to reach a higher cruising speed.

What is the final speed?
(Vf = ?)

please express in two sig figs

Explanation / Answer

acceleration

v = v0 + at

14 = 5 + a*8

a = 9/8

so in second acceleration

v = 14 + 9/8*16

=14+18 = 32 m/s

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