If the force acting on a body is inversely proportioned to its speed, then its kinetic energy is

F α ​1V    ⇒   FV   =   constant    ⇒   power=   constant ∴     power  =    ​worktime    ; substitute in above equation ⇒worktime=constant ∴     work  α   time work done = change in KE; substitute in above equation ∴ change in     K.E.   α   time ⇒KE is proportional to time ⇒KE is linearly related to time