A) \[\frac{m{{v}^{2}}}{{{T}^{2}}}.{{t}^{2}}\]
B) \[\frac{m{{v}^{2}}}{{{T}^{2}}}.t\]
C) \[\frac{1}{2}\frac{m{{v}^{2}}}{{{T}^{2}}}.{{t}^{2}}\]
D) \[\frac{1}{2}\frac{m{{v}^{2}}}{{{T}^{2}}}.t\]
Correct Answer: B
Solution :
[b] \[\operatorname{u}=0;\,\,v=u+aT;\,\,v=aT\] Instantaneous power \[= F\times v = m. a.\] \[\operatorname{at}= m.{{a}^{2}}. t~\] \[\therefore \] Instantaneous power \[= m\frac{{{v}^{2}}}{{{T}^{2}}}t\]
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