The resistive force on an aeroplane flying in a horizontal plane is given by $$F_f = kv^2$$, where $$k$$ is constant and $$v$$ is the speed of the aeroplane. When the power output from the engine is $$P_0$$, the plane flies at a speed $$v_0$$. If the power output of the engine is doubled the aeroplane will fly at a speed of

A

$$1.12\,v_0$$

B

$$1.26\,v_0$$

C

$$1.41\,v_0$$

D

$$2.82\,v_0$$