"Look! Up in the sky! It's a boid!" "Nah, it ain't a boid, it's a dive bomba!" "NO! It's SUPER RABBIT!"
The cartoon opens with a similar opening to the 1940s Superman cartoons, radio shows, and later movie serials and television show - "Faster than a speeding bullet" (in this case, a cork popped out of a gun), "More powerful than a locomotive" (a "choo-choo" train), "able to leap tall buildings in a single bound" (of course, this being Bugs Bunny, Bugs falls frantically as soon as he clears the building). Once the cartoon establishes Bugs as "Super Rabbit- The Rabbit Of Tomorrow!", the cartoon moves to the lab of a scientist, whose name sounds like "Professor Cannafraz" as the announcer's voice fades out, and who is patterned in part after Richard Haydn's radio character Edwin Carp on the Burns and Allen radio show.
The professor is creating a "super carrot". Bugs is his test subject, and immediately wolfs down the carrot, which now gives him super-abilities, such as invulnerability and flight... but only temporarily. He must eat another one from time to time, to replenish his powers. Bugs pulls out a newspaper article about "Cottontail Smith", a hunter in Texas who wants to hunt down all rabbits. Seeing a need, Bugs gathers up the super carrots, stashes them in a cigarette case, gives the professor a kiss on the nose and flies off. (In an amusing gag, Bugs flies past a horse who happens to be sauntering in the middle of the air, with the horse turning to the camera and going, "A rabbit? Up HERE!?")
Bugs flies to 'Deepinaharta Texas' (a recurring WB gag inspired by the song "Deep in the Heart of Texas"), and assumes a 'disguise' as a "mild-mannered forest creature" (complete with oversized glasses and hat). He soon encounters Smith (who bears a striking resemblance to fellow Texan Lyndon Baines Johnson, at that time a U.S. congressman), and within a few panels already starts to have fun with him - switching Smith with his horse. When Smith tries to shoot Bugs, he finds than none of the bullets penetrate him. Bugs hands him a cannonball, eats another carrot ("Just a precaution"), then plays 'basketball' with the cannonball. The bemused Smith and his horse are soon outwitted by Bugs, but they don't give up. The pair fly into the sky with their own airplane, try swooping in on Bugs, but soon find themselves piloting a control stick and the top window of their plane - and nothing else.
Bugs soon runs out of power, but when he tries to 'recharge' by eating another carrot, they all fall to the ground. When Bugs lands on the ground, he opens his eyes to see a line of eaten carrots - both Smith and his horse are now superheroes. Bugs then turns to the camera and says "This looks like a job for a REAL Superman!" He ducks into a phone booth, and both Smith and the horse are ready to attack - until the booth opens and they both snap to attention and salute. Bugs marches out in a Marine uniform, singing The Marines Hymn, pausing to say, "Sorry, fellas, I can't play with you anymore. I got some important work to do," before marching off towards a sign pointing to 'Berlin, Tokyo and points East' while finishing the Hymn.