Final answer:
To swerve safely, grip the steering wheel firmly and steer in the direction you intend to go. In a curve ideally banked for your car's speed, you should not feel thrown to either side, as the force from the car seat will be directed towards the center of the curve.
Step-by-step explanation:
When you need to swerve, you should grip the steering wheel firmly to maintain control of the vehicle. As for the direction in which you should steer, this is typically towards your intended path of travel, which could mean away from an obstacle or to correct your car's direction.
Regarding the physics of being in a moving vehicle, when you negotiate a curve that is ideally banked for your car's speed, you should not feel thrown to either side because the banking of the curve and the speed of the car are matched in such a way that the forces on your body are balanced. The force exerted on you by the car seat is directed towards the center of the curve, counteracting the centrifugal force that attempts to push you outward due to inertia. If the curve is not banked or if the speed is not ideal, you might feel a sideways force, indicating that the centrifugal force is not being completely balanced.