A particle of mass m initially moving with speed v.A force acts on the particle f=kx where x is the distance travelled by the particle and k is constant. Find the speed of the particle when the work done by the force equals W.
A. `sqrt((k)/(m)+v^(2))`
B. `sqrt((2W)/(m)+v^(2))`
C. `sqrt((2W)/(k)+v^(2))`
D. `sqrt((W)/(2m)+v^(2))`