I have a 2014 Honda Accord and it makes a whining noise when I start the car up.

Hello, Kind of odd for such a new Honda to have a noise like this. I would recommend having someone local visually and audibly inspect it with you. Whining noises could be coming from the accessory drive area of the engine, from a rotating pulley driven by the drive belt, possibly showing a concern with one of the driven components. This vehicle has electric power steering, so there is no power steering pump to whine -- usually a good first guess, but not present here.