A) \[\frac{1}{\sqrt{3}}\]
B) \[\sqrt{3}\]
C) \[\frac{1}{3}\]
D) \[3\]
Correct Answer: C
Solution :
Velocity is defined as rate of change of displacement (s). \[\therefore \] \[v=\frac{\Delta \,s}{\Delta \,t}\] In the given graph, Rate of change of displacement = slope of s-t graph \[=\tan \,\theta \] \[\therefore \] \[\tan {{60}^{o}}=\frac{BD}{OD}={{v}_{B}}\] \[\tan {{30}^{o}}=\frac{AC}{OC}={{v}_{A}}\] \[\therefore \] \[\frac{\tan {{60}^{o}}}{\tan \,{{30}^{o}}}=\frac{{{v}_{B}}}{{{v}_{A}}}\] \[\Rightarrow \] \[\frac{{{v}_{B}}}{{{v}_{A}}}=\frac{\sqrt{3}}{1/\sqrt{3}}=\frac{3}{1}\] \[\therefore \] \[{{v}_{A}}:{{v}_{B}}=1:3\]You need to login to perform this action.
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