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

If the force acting on a body is inversely proportional to its speed,

1.	If the force acting on a body is inversely proportional to its speed, then its kinetic energy is
Answer» linearly RELATED to time inversely proportional to time inversely proportional to the square of time a constant Solution :`F prop 1/V " or " F = C/v` where C is the constant of proportionality. `:. ma= C/v " or " m (dv)/(dt) = C/v " or " vdv = (Cdt)/(m)` Integrating both SIDES , we get `(v^2)/v = (Ct)/m " or " 1/2 mv^2 = Ct` KINETIC energy, `K = 1/2 mv^2 = Ct or K prop t`