A particle has an initial velocity of \[9\text{ }m/s\] due east and a constant acceleration of \[2\text{ }m/{{s}^{2}}\] due west. The distance covered by the particle in the fifth second of its motion is-
A)0
B)0.5 m
C)2m
D)none of these
Correct Answer:
B
Solution :
\[\frac{V}{\left( \frac{1}{2} \right)}\,\,=\,\,2\,\,\,\,\,\,\,\,\,\,\,\therefore \,\,v=1\,\,m/s\] Area under the speed time curve from\[t\,\,=\,\,4s\text{ }to\text{ }t\,\,=\,\,5\,\,sec\]. \[r=\left[ \frac{1}{2}\left( \frac{1}{2} \right){{(1)}^{2}} \right]\,\,\times \,\,2\,\,=\,\,0.5\,\,m\]