Whenever I am trying to make a short stop, from 30+mph, I feel a slight bump, as if I'm running over a small speed bump. The faster I go, and the quicker I try to stop, the harder the bump feels. I believe it's like a hard downshift from 2nd to 1st gear. I also get an ever so slighly rough upshift from 1st to 2nd gear, when compared to any other shift. Any where between 2nd and 4th gear is smooth, whether it be an upshift or downshift. It's just between 1st and 2nd gear when I feel it. At first, I pictured in my head the breaks biting down for a second whenever I felt the bump. But as I experimented, this is about as much as I could narrow it down.
My car has 193000 miles.
My car has an automatic transmission.
Based on your description, it seems like you may have a faulty control arm bushing on your vehicle. I would recommend a brakes suspension and steering inspection to verify this. If any control arm bushings are faulty on your vehicle, I would recommend having this issue resolved as soon as possible to keep your vehicle and safe working condition. Consider YourMechanic as this can be done at your home or office.
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