An object of mass 1kg moving with a speed 2 m/s was acted on by a force that produce an acceleration of 2 m/s^2 what is change in kinetic energy of the object if the force is exert on the object of 2 m/s^2 in its direction of motion.

Hard to say, since you don't say how long the force was applied.

Since v = v0+at = 2+2t
calculate the final velocity, and then
∆KE = 1/2 * 1 * (v^2 - 2^2)