A) \[12\text{ }m\]
B) \[18\text{ }m\]
C) \[6\text{ }m\]
D) \[24\text{ }m\]
Correct Answer: D
Solution :
Case I. \[{{v}^{2}}={{u}^{2}}-2as\] \[0={{(50)}^{2}}-2\times a\times \frac{6}{1000}\] \[\frac{2\times a\times 6}{1000}=50\times 50\] \[a=\frac{50\times 50\times 1000}{2\times 6}\] Case II. \[{{v}^{2}}={{u}^{2}}-2as\] \[0={{(100)}^{2}}-2\times \frac{50\times 50\times 1000}{2\times 6}\times 5\] \[s=\frac{100\times 100\times 6}{50\times 50\times 1000}\] \[s=\frac{24}{1000}km\] \[s=24m\]
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