A) \[0,0\]
B) \[0,-3\,kg\,m{{s}^{-1}}\]
C) \[+3\,kg\,m{{s}^{-1}},0\]
D) \[+3\,kg\,m{{s}^{-1}},-3kg.m{{s}^{-1}}\]
Correct Answer: D
Solution :
\[t<0,\,{{v}_{i}}=0\]and \[t>0,\,{{v}_{f}}=\frac{3}{4}m/s\] \[\therefore \] Impulse \[=m({{v}_{f}}-{{v}_{i}})=4\left( \frac{3}{4}-0 \right)\] \[=3\,kg\,m{{s}^{-1}}\] Little before 4 second \[v=\frac{3}{4}m/s,\] little after 4 second, velocity becomes zero Therefore, Impulse \[=m({{v}_{f}}-{{v}_{i}})=4\left( 0-\frac{3}{4} \right)=-3kg\,m{{s}^{-1}}\]
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