A) \[500m/{{s}^{2}}\]
B) \[500\,\sqrt{2}\,m/{{s}^{2}}\]
C) \[750\,\,m/{{s}^{2}}\]
D) \[750\,\sqrt{2}\,m/{{s}^{2}}\]
Correct Answer: B
Solution :
[b] Given that, \[\frac{{{A}_{\max }}}{{{V}_{\max }}}=10i.c.,\,\omega =10{{s}^{-1}}\] Displacement is given by \[x=a\,\sin \,(\omega t+\pi /4)\] \[at\,t=0,\,x=5;5=a\,\sin \,{{45}^{o}}\Rightarrow a=5\sqrt{2}\] \[{{A}_{\max }}=a{{\omega }^{2}}=500\sqrt{2\,}m/{{s}^{2}}\]
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