WE WERE TRAVELING ON A THREE-LANE ROAD (CENTER TURN LANE) IN OUR 2017 ACURA MDX GOING APPROXIMATELY 35 MPH AND FOLLOWING THE VEHICLE IN FRONT OF US AT THE NORMAL 4-CAR LENGTH DISTANCE. THE CAR IN FRONT OF US SIGNALED FOR A RIGHT TURN OFF THE MAIN ROAD AND BEGAN TO SLOW. I APPLIED OUR BRAKES TO SLOW AS WELL. WE WERE STILL AT LEAST 3 CAR LENGTHS BEHIND WHEN THE CAR IN FRONT OF US TURNED OFF THE MAIN ROAD. I MOVED MY FOOT OFF THE BRAKE TO ACCELERATE BACK TO THE NORMAL SPEED. THE COLLISION MITIGATION BRAKING SYSTEM ACTIVATED, BRINGING OUR VEHICLE TO A SUDDEN STOP IN TRAFFIC. THE VEHICLE THAT HAD MADE THE RIGHT TURN WAS COMPLETELY OFF THE MAIN ROAD WHEN OUR BRAKE SYSTEM ACTIVATED. WE WERE REAR-ENDED BY A JEEP WRANGLER TRAVELING AT OR NEAR THE SPEED LIMIT. OUR VEHICLE WAS TOTALED. I WANT TO NOTE THAT THIS WAS NOT A CASE OF US FOLLOWING TOO CLOSELY OR APPROACHING TOO FAST! OUR MDX HAD 9,256 MILES ON IT, AND THERE HAD BEEN NO PRIOR PROBLEMS OR WARNINGS. WE HAD NO IDEA THAT THE ELECTRONIC BRAKE SYSTEM COULD ACTIVATE WITHOUT CAUSE AND BRING THE VEHICLE TO A COMPLETE STOP!