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Statement I: A body is thrown verticallyupwards. If air resistance is to be takeninto account, then the time duringwhich the body rises is greater than thetime of fall.Statement II: A body is thrown verticallyupwards and when it reaches half of itsmaximum height, its accelerationremains same

Question

Statement I: A body is thrown verticallyupwards. If air resistance is to be takeninto account, then the time duringwhich the body rises is greater than thetime of fall.Statement II: A body is thrown verticallyupwards and when it reaches half of itsmaximum height, its accelerationremains same

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Solution

Statement I: When a body is thrown vertically upwards, it experiences a force of gravity pulling it downwards and air resistance pushing it upwards. This means that the body will take longer to reach its peak height than it would if there was no air resistance. On the other hand, when the body is falling, both gravity and air resistance are acting in the same direction (downwards), so the body falls faster than it rose. Therefore, the time during which the body rises is greater than the time of fall.

Statement II: The acceleration of a body thrown vertically upwards is always the same, regardless of its position. This is because the acceleration is due to gravity, which is a constant force. Even when the body reaches half of its maximum height, the acceleration remains the same. However, the velocity of the body decreases as it rises due to the opposing force of gravity.

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