question_answer 40)

                  Refer to the graphs in of Q. No. 1 Match the following.                

(a)	(i)	has \[\upsilon >0\] and \[a<0\] throughout.
(b)	(ii)	has \[x>0\] throughout and has a point with \[\upsilon =0\]
(c)	(iii)	has a point with zero displacement for \[t>0\]
(d)	(iv)	has \[\upsilon <0\] and \[a>0\]

                 

Answer:

                  For graph (a), displacement is zero, where curve passes time axis.                 Therefore, (a) ® (iii)                 For graph (b), \['x'\]  has certain value at \[t=0\] and then it increases and then decreases but always has value \[>0\]. \[\upsilon =0,\] when slope of \[x-t\] graph is zero.                 Therefore, (b) ®(ii)                 For graph (c), slope of \[x-t\] graph is negative.  Therefore, (c) ®(iv)                  For graph (d), slope of \[x-t\] graph is positive. Therefore, (d) ®(i)