A) \[0.5\text{ }m\]
B) \[1\,\,m\]
C) \[1.5\,\,m\]
D) \[2.5\,\,m\]
Correct Answer: C
Solution :
Given that, distance \[(x)=1+2t-2{{t}^{2}}\] \[\Rightarrow \] \[\frac{dx}{dt}=2-4t\] ?..(i) When the bus stop. then velocity of the buds become zero. \[\Rightarrow \] \[\frac{dx}{dt}=0\] \[\Rightarrow \] \[2-4t=0\] \[\Rightarrow \] \[t=1/2s\] \[\Rightarrow \] At time \[t=1/2.\] the distance travel by the bus is \[\Rightarrow \]\[x=1+2(1/2)-2(1/4)=1+1-1/2\] \[x=3/2=1.5\,m\]
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