Two autonomous runway inspection vehicles pass the same painted line at the same instant and travel in the same direction on parallel routes.
Vehicle A has a velocity of 1.0 m/s as it passes the line. During the next 2.0 s, its velocity increases uniformly to 7.0 m/s. It then travels at 7.0 m/s for a further 4.0 s.
Vehicle B travels at a constant velocity for the whole time.
After a total time of 6.0 s, Vehicle B is 12 m behind Vehicle A.
What is the constant velocity of Vehicle B?
4.0 m/s4.0\ \mathrm{m/s}4.0 m/s
6.0 m/s6.0\ \mathrm{m/s}6.0 m/s
5.0 m/s5.0\ \mathrm{m/s}5.0 m/s
8.0 m/s8.0\ \mathrm{m/s}8.0 m/s