A body of mass m accelerates uniformly from rest to a speed \[\left( \lambda \right)\]in time \[\infty \]. The work done on the body till any time t is

\[\frac{1}{2}mv_{0}^{2}\left( \frac{{{t}_{0}}}{t} \right)\]

\[\frac{1}{2}mv_{0}^{2}\left( \frac{{{t}^{2}}}{t_{0}^{2}} \right)\]

\[mv_{0}^{2}\left( \frac{t}{{{t}_{0}}} \right)\]

\[mv_{0}^{2}{{\left( \frac{t}{{{t}_{0}}} \right)}^{3}}\]

A body of mass m accelerates uniformly from rest to a speed \[\left( \

1.	A body of mass m accelerates uniformly from rest to a speed \[\left( \lambda \right)\]in time \[\infty \]. The work done on the body till any time t is
A.	\[\frac{1}{2}mv_{0}^{2}\left( \frac{{{t}^{2}}}{t_{0}^{2}} \right)\]
B.	\[\frac{1}{2}mv_{0}^{2}\left( \frac{{{t}_{0}}}{t} \right)\]
C.	\[mv_{0}^{2}\left( \frac{t}{{{t}_{0}}} \right)\]
D.	\[mv_{0}^{2}{{\left( \frac{t}{{{t}_{0}}} \right)}^{3}}\]
Answer» B. \[\frac{1}{2}mv_{0}^{2}\left( \frac{{{t}_{0}}}{t} \right)\]