My 2014 Corolla LE, 11500 miles, makes a noticeable thumping noise ("much" of the time) when coming to a SLOW, gradual stop. The thumps go away when I increase brake, or handbrake, pressure. I lifted the rear of the car and eventually duplicated the thumps when turning the wheels and applying mild brake pressure.

Comment: I believe the brake pads and rotor may not be at perfect equilibrium. Bearings are OK. Note: others online have written about this.

brakes grinding like crazy and dealer told me its normal and I told him he's nuts if 2014 car makes that noise. sue the suckers.

When you let off the brake you hear a noise every time the caliper releases from the brake.