A) \[{{t}^{1/2}}\]
B) \[{{t}^{3/2}}\]
C) \[{{t}^{2}}\]
D) \[{{t}^{3/4}}\]
Correct Answer: B
Solution :
As power\[=F\times \upsilon =m\frac{dv}{dt}\times v=\]constant k \[\upsilon d\upsilon =\frac{k}{m}dt\] ?(i) Now integrating equation (i), we get \[{{\upsilon }^{2}}=\frac{2kt}{m}\] or \[\upsilon =\frac{dx}{dt}=\sqrt{\frac{2k}{m}}{{t}^{1/2}}\] hence \[x\propto {{t}^{3/2}}\]You need to login to perform this action.
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