So at higher speeds where m is larger and v is smaller the kinetic energy lost in the wake is lower. Therefore induced drag decreases as speed increases. Similarly, increasing wing span increases m, reducing v, so wings with larger spans have lower induced drag at any given flight speed.

Does induced drag increase or decrease with speed?

The amount of induced drag varies inversely with the square of the airspeed. Conversely, parasite drag increases as the square of the airspeed. Thus, in steady state, as airspeed decreases to near the stalling speed, the total drag becomes greater, due mainly to the sharp rise in induced drag.

What is the relationship between airspeed and induced drag?

Drag and Airspeed

Parasitic drag increases with the square of the airspeed, while induced drag, being a function of lift, is greatest when maximum lift is being developed, usually at low speeds. The diagram below shows the relationship of parasitic drag and induced drag to each other and to total drag.