A) \[20\,m{{s}^{-1}}\]
B) \[30\,m{{s}^{-1}}\]
C) \[5\,m{{s}^{-1}}\]
D) \[10\,m{{s}^{-1}}\]
Correct Answer: B
Solution :
| The angle of banking \[\tan \theta =\frac{{{v}^{2}}}{rg}\] |
| Given, \[\theta ={{45}^{o}},r=90\,m\] and \[g=10\,m/{{s}^{2}}\] |
| \[\tan {{45}^{o}}=\frac{{{v}^{2}}}{90\times 10}\] |
| \[v=\sqrt{90\times 10\times \tan {{45}^{o}}}\] |
| Speed of car \[v=30\text{ }m/s\] |
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