A particle of mass \[m\] moves on the x-axis as follows : it starts from rest at \[t=0\] from the point \[x=0\] and comes to rest at \[=(u+at)t+\frac{1}{2}a{{t}^{2}}\] at the point \[x=1\]. No other information is available about its motion at intermediate time \[(0

• A.             \[\alpha \] cannot remain positive for all \[t\] in the interval \[0\le t\le 1\]
• B.             \[|\alpha |\] cannot exceed 2 at any point in its path
• C.             \[|\alpha |\] must be \[\ge 4\] at some point or points in its path
• D. \[\alpha \] must change sign during the motion but no other assertion can be made with the information given