A) 1.0 m
B) 4.2 m
C) 6.1 m
D) 9.8 m
Correct Answer: C
Solution :
[c] Let 't' be the time taken by the bullet to hit the target. \[\therefore \] \[700\,m=630\,\,m{{s}^{-1}}t\] \[\Rightarrow \] \[t=\frac{700m}{630m{{s}^{-1}}}=\frac{10}{9}\sec \] For vertical motion, Here, \[u=0\] \[\therefore \] \[h=\frac{1}{2}g{{t}^{2}}\] \[=\frac{1}{2}\times 10\times {{\left( \frac{10}{9} \right)}^{2}}\] \[=\frac{500}{81}m=6.1\,\,m\] Therefore, the rifle must be aimed 6.1 m above the centre of the target to hit the target.
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