A) \[\text{20}\,\text{m}{{\text{s}}^{\text{-1}}}\]
B) \[\text{30}\,\text{m}{{\text{s}}^{\text{-1}}}\]
C) \[5\,\text{m}{{\text{s}}^{\text{-1}}}\]
D) \[10\,\text{m}{{\text{s}}^{\text{-1}}}\]
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 m/s
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