A particle of mass \[m\] moves with a variable velocity \[v\], which changes with distance covered \[x\] along a straight line as \[v=k\sqrt{x}\], where A: is a positive constant. The work done by all the forces acting on the particle, during the first \[t\] seconds is

\[\frac{m{{k}^{4}}{{t}^{2}}}{16}\]

\[\frac{m{{k}^{4}}}{{{t}^{2}}}\]

\[\frac{m{{k}^{4}}{{t}^{2}}}{4}\]

\[\frac{m{{k}^{4}}{{t}^{2}}}{8}\]

A particle of mass \[m\] moves with a variable velocity \[v\], which c

1.	A particle of mass \[m\] moves with a variable velocity \[v\], which changes with distance covered \[x\] along a straight line as \[v=k\sqrt{x}\], where A: is a positive constant. The work done by all the forces acting on the particle, during the first \[t\] seconds is
A.	\[\frac{m{{k}^{4}}}{{{t}^{2}}}\]
B.	\[\frac{m{{k}^{4}}{{t}^{2}}}{4}\]
C.	\[\frac{m{{k}^{4}}{{t}^{2}}}{8}\]
D.	\[\frac{m{{k}^{4}}{{t}^{2}}}{16}\]
Answer» D. \[\frac{m{{k}^{4}}{{t}^{2}}}{16}\]