2003 club car golf cart slows down too much going down hill. Brakes are applied automatically but to the extreme how do you remedy this problem

No idea never worked on one but it sounds like something is seized up inside the brake drum ,No you must separate the drum from the backplate ,i would suspect that a wheel cylinder is corroded up and holding brakes on ,, usual way to remove the wheel and wack around drum lightly but with a 1kilo lump hammer ,or 2lbs to you and this will often push the pistons back into wheel cylinder ,check for manual adjuster on back of drum ?? ,the drum wears and forms a lip on the side so it doesnt always slide over the shoes ,as and when you get this drum off make sure you grind this lip down with a small angle grinder before refitting the drum as you cannot get the shoes to adjust manually on the automatic adjusters if it has this type and not a manual adjuster on the back of the backplate ,,

If the smell is a burning smell, be very careful, a fire could start. If the smell is chemical, but very careful, a battery could explode.
That said, check your electrical connections and your voltage. If you don't know how to do this, call a friend or take it to a shop. The speed control, the wiring and the batteries can all cause what you describe.
One more thought, a dragging brake could also cause this problem.
Things to consider: When did the problem start? What happened or changed at that time? When was the last time it ran right?

Here's a link to brake adjustment info:
Dragging brakes

1. You did the right thing, you almost always start with the batteries first. However, it may be the controller. The speed of an electric golf cart is determined by the speed controller. Problems with this part may be trickier to diagnose and repair. This YouTube video shows you how to replace one: https://www.youtube.com/watch?v=azWblmoGAJs I hope this helps you out! Rhonda

Travis, Removing governor from your cart. Check the attached links,instruction and guides, Good luck
"I hope this helped you out, if so let me know by pressing the helpful button. Check out some of my other posts if you need more tips and info."
How to remove governer on Club Car golf cart
How to Adjust an Go Golf Cart Governor
How to Take Governor off Club Car Gas Golf Cart

Charger won't shut off - Buggies Gone Wild Golf Cart Forum

www.buggiesgonewild.com > ... > Electric Club Car

Sep 27, 2010 - 7 posts - ‎2 authors
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you should use the highest gear possible to allow over drive to kick in, other gears will slow and limit the speed you can drive ,and stress the tranny

Since 1981 Club Car Golf Carts have positioned their serial numbers just under the glove box on the passengers side of the vehicle. The first two numbers (not letters) indicate the last two digits of the year of manufacture.

On Club Car Golf Carts prior to 1981, you can find the serial number by raising the seat and locating the aluminum, I-beam frame section closest to the batteries on the driver's side of the car. If the serial number plate has been removed, you can confirm it is a 1975-1980 model if it has two brake pedals and one accelerator pedal.

Electric or gas

Resister coil pack....Look up Buggies Gone Wild. Tons of info.

2008 precedenmt golf cart dash light keep coming off an on