Q: When I'm driving and come to a stop, the rpm gauge goes up while I'm braking causing the car to jerk sometimes.

Hello. This is a common sign of a failing throttle position sensor. The throttle position sensor (TPS) is a sensor used to monitor the throttle position of a vehicle. The sensor is usually located on the butterfly spindle/shaft so that it can directly monitor the position of the throttle. This sensor relays the position of the throttle plate (also called the butterfly) relative to your foot’s position on the gas pedal and associates the two in the ECU. The ECU then makes the direction to supply more or less fuel to the motor. When this sensor is not working properly, this can cause intermittent responses when applying the gas pedal. To have this taken care of, I recommend having a professional from YourMechanic inspect the hesitation problem and replace the throttle position sensor if necessary.