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When a person throws a ball vertically upwards in an open car that is moving at a constant velocity, neglecting the effect of air resistance, the ball will fall exactly in the hands of the person.
This is because when the person throws the ball vertically, the only force acting on the ball is gravity. Gravity pulls the ball downwards, causing it to accelerate towards the Earth. The initial upward velocity of the ball due to the person`s throw gradually decreases due to the force of gravity. However, since the car is moving at a constant velocity, the ball retains the same horizontal velocity as the car.
As a result, when the ball reaches its highest point in the air, its vertical velocity becomes zero. At this point, the only force that is acting on the ball is gravity, causing it to start falling downwards. Since the ball and the person are in the same moving car, the ball falls straight down and into the hands of the person who threw it.
Hence, option 1 - "Exactly in the hands of the person" - is the correct answer.