A train leaves a station with an initial velocity of 2m/s and travels in a straight line with a uniform acceleration of 1.0m/s2. The train covers a displacement of 150m during this phase of motion. Attempt the following:
(a) Using suitable symbols, write the relation connecting displacement, initial velocity, acceleration and time for uniformly accelerated motion.
(b) Form an equation in the unknown time t for the data given above and solve it to obtain the possible values of t.
(c) Comment briefly on the physical relevance of each root obtained in part (b).