A) \[\frac{3}{2}unit\]
B) \[\frac{5}{4}unit\]
C) \[2\,unit\]
D) \[\frac{1}{2}unit\]
Correct Answer: D
Solution :
[d] Distance travelled form time t-1 sec to t sec is \[S=u+\frac{a}{2}(2t-1)\] From given condition S=t (i) and (ii) \[\Rightarrow t=u+\frac{a}{2}(2t-1)\] \[\Rightarrow u=\frac{a}{2}+t(1-a)\] Since u and a are arbitrary constants, and they must be constant for every time. \[\Rightarrow \] coefficient of t must be equal to zero. \[\Rightarrow \]\[1-a=0\Rightarrow a=1\]for \[a=1\], \[u=\frac{1}{2}\]unit Initial speed is \[\frac{1}{2}\]unit.
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