Consider where the center of mass of the car is relative to where the force is being applied. The force is a rearward force applied to the tires at the pavement surface. The center of mass of the car is a couple of feet off the pavement. Thus, there is a torque around the center of mass that causes the rear of the car to rise and the front to fall. The suspension allows this motion to take place. The faster you stop, the greater the force, the greater the torque.
Presumably, a "smart" suspension could compensate for the horizontal acceleration, so the car could be stopped without that dip in the hood. (As a motorcycle rider, I was taught to look for that dip in the hood to tell whether a car was slowing or not. Such a suspension could give false clues.)
Presumably, a "smart" suspension could compensate for the horizontal acceleration, so the car could be stopped without that dip in the hood. (As a motorcycle rider, I was taught to look for that dip in the hood to tell whether a car was slowing or not. Such a suspension could give false clues.)