If you are sitting in the back seat of a car that makes a hard left turn, you will feel pushed toward the right side of the car. Why does your body move to the right

Because my body tries to continue in the rectilinear motion it was experiencing before the turn.

Explanation:

The body tries to continue in the rectilinear motion it was having before the hard left turn, in which a centripetal force is experienced. This is in agreement with Newton's first Law of motion:

"An object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force."

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