A) \[100\,\,m\,\,{{s}^{-1}}\]
B) \[104\,\,m\,\,{{s}^{-1}}\]
C) \[10\sqrt{10}m\,\,{{s}^{-1}}\]
D) \[5\sqrt{10}m\,\,{{s}^{-1}}\]
Correct Answer: C
Solution :
Case (i): \[S=x,\,\,v=0,\,\,u=10\,\,m\,\,{{s}^{-1}}\] \[{{v}^{2}}-{{u}^{2}}=2aS,\,\,{{0}^{2}}-{{10}^{2}}=2ax\] \[-100=2ax=-50=ax\] ? (1) Case (ii): \[S=10x,\,\,v=0\] \[{{v}^{2}}-{{u}^{2}}=2aS,\,\,{{0}^{2}}-{{u}^{2}}=2a(10x)\] \[{{u}^{2}}=1000\]or\[u=10\sqrt{10}m\,\,{{s}^{-1}}\]
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