A) \[\frac{22}{3}\,cm\]
B) \[\frac{40}{3}\,cm\]
C) \[\frac{20}{3}\,cm\]
D) \[\frac{22}{5}\,cm\]
Correct Answer: B
Solution :
For first part of penetration, by equation of motion \[\left( \frac{u}{2} \right)-{{\left( u \right)}^{2}}=2aS\text{ or a = -}\frac{3{{u}^{2}}}{8S}....(i)\] For latter part of penetration \[{{\left( 0 \right)}^{2}}-{{\left( \frac{u}{2} \right)}^{2}}=2aS\text{ or a=-}\frac{3{{u}^{2}}}{8S}....\left( i \right)\] \[S'\text{=}\frac{S}{3}\text{or S }\!\!'\!\!\text{ =}\frac{40}{3}cm\]
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