A) \[{{t}^{\frac{3}{2}}}\]
B) \[{{t}^{\frac{1}{2}}}\]
C) \[{{t}^{\frac{3}{4}}}\]
D) \[{{t}^{2}}\]
Correct Answer: A
Solution :
Power\[=\frac{w}{t}=\frac{\frac{1}{2}m{{v}^{2}}}{t}=\]constant \[\therefore \] \[{{v}^{2}}\propto t\] \[\Rightarrow \] \[v\propto {{t}^{1/2}}\] \[\therefore \]Displacement \[=\] Velocity\[\times \]Time \[=v\times t\] \[={{t}^{1/2}}\times t={{t}^{3/2}}\]
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