A) \[\sqrt{3}:2\]
B) \[1:1\]
C) \[1:2\]
D) \[1:\sqrt{3}\]
Correct Answer: D
Solution :
By the definition, the slope of displacement-time graph is velocity. \[i.e.,\] \[v=\tan \theta \] \[\therefore \] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{\tan {{\theta }_{1}}}{\tan {{\theta }_{2}}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{\tan {{30}^{o}}}{\tan {{45}^{o}}}\] \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{1}{\sqrt{3}}\]
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