While an object is in projectile motion (with upward being positive) with no air resistanceGroup of answer choicesthe vertical component of its velocity remains constant and the vertical component of its acceleration is equal to -g.none of thesethe vertical component of both its velocity and its acceleration remain constant.the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.the horizontal component of its velocity remains constant and the horizontal component of its acceleration is equal to -g.the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to zero.
Question
While an object is in projectile motion (with upward being positive) with no air resistanceGroup of answer choicesthe vertical component of its velocity remains constant and the vertical component of its acceleration is equal to -g.none of thesethe vertical component of both its velocity and its acceleration remain constant.the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g.the horizontal component of its velocity remains constant and the horizontal component of its acceleration is equal to -g.the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to zero.
Solution
The correct answer is: "the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g."
Here's why:
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In projectile motion, the only force acting on the object (assuming no air resistance) is gravity. Gravity only acts vertically (downwards), not horizontally. Therefore, the horizontal component of the object's velocity remains constant because there are no forces acting on it horizontally to change its speed or direction.
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The vertical component of the object's acceleration is equal to -g because gravity is pulling it downwards. The negative sign indicates a downward direction. This means the object is accelerating downwards at a rate of g (the acceleration due to gravity).
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The vertical component of the object's velocity does not remain constant. It changes because of the acceleration due to gravity. At the highest point of the trajectory, the vertical velocity is zero. As the object rises and falls vertically, the velocity changes. That's why we can't say that the vertical component of its velocity remains constant.
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The horizontal component of the object's acceleration is not equal to -g. As mentioned before, gravity is a vertical force and does not affect the horizontal motion. Therefore, the horizontal acceleration is zero.
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The vertical component of the object's acceleration is not equal to zero. It's equal to -g because of gravity.
So, the only statement that accurately describes the motion of the object is "the horizontal component of its velocity remains constant and the vertical component of its acceleration is equal to -g."
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