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The “ballistics car” projects a metal ball vertically as the car rolls horizontally (at a constant speed). Where will the ball land neglecting air resistance?

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Answer:

The ball will land at the same distance horizontally as the car traveled while the ball was in the air. This is because the horizontal motion of the car and the vertical motion of the ball are independent of each other, and the horizontal motion of the car does not affect the vertical motion of the ball. This is known as the "projectile motion" and the horizontal and vertical motion can be treated separately.

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