During an experiment
performed in a particle accelerator, a particle A is forced into motion,
along a straight path, with constant acceleration of 10 m/s2,
until it enters a medium of higher viscosity so that its velocity steadies
at 70 m/s.At t=0, another particle B is forced to move in opposite direction
along the same path as that of first, at a distance of 8000 m, with a
constant speed of 40 m/s. Determine the time and the distance travelled
by the two particles before they collide.