A) \[\frac{m{{v}_{1}}t}{{{t}_{1}}}\]
B) \[\frac{mv_{1}^{2}t}{{{t}_{1}}}\]
C) \[\frac{m{{v}_{1}}{{t}^{2}}}{{{t}_{1}}}\]
D) \[\frac{mv_{1}^{2}t}{t_{1}^{2}}\]
Correct Answer: D
Solution :
\[P=\vec{F}.\vec{v}\]\[=ma\times at\]\[=m{{a}^{2}}t\] [as u = 0] \[=m{{\left( \frac{{{v}_{1}}}{{{t}_{1}}} \right)}^{2}}t=\frac{mv_{1}^{2}t}{t_{1}^{2}}\] \[\left[ \text{As }a={{v}_{1}}/{{t}_{1}} \right]\]
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