question_answer 31)

                  In one dimensional motion, instantaneous speed u satisfies \[0\le \upsilon <{{\upsilon }_{0}}\].                         (a) The displacement in time T must always take non-negative values.                 (b) The displacement \[x\] in time T satisfies \[-\,{{\upsilon }_{0}}\,T<\,x<\,{{\upsilon }_{0}}T\].                 (c) The acceleration is always a non-negative number.                 (d) The motion has no turning points.                

Answer:

  (b)  \[|x|<{{\upsilon }_{0}}T\]