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Answer :
Final answer:
The vertical velocity at the apex of a projectile's trajectory is zero, while the horizontal velocity remains constant. The vertical acceleration at the apex is also zero.
Explanation:
In projectile motion, the vertical velocity of a projectile at the apex of its trajectory is always zero. This is because the object reaches its highest point in the vertical direction and starts to descend, so the vertical velocity changes from positive to zero and then to negative.
However, the horizontal velocity of a projectile at the apex of its trajectory is not always zero. The horizontal velocity remains constant throughout the entire trajectory, including at the apex.
The vertical acceleration of a projectile at the apex of its trajectory is always zero, just like its vertical velocity. This is because at the highest point, the object is momentarily at rest in the vertical direction, and therefore, there is no vertical acceleration acting on it.
So, the correct statement is that both A) and C) are correct.
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Final answer:
Only the statement regarding the vertical velocity of a projectile being zero at the apex is true. Horizontal velocity remains constant and is not zero, while the vertical acceleration is equal to gravity and not zero.
Explanation:
The statement that the vertical velocity of a projectile at the apex of its trajectory is always zero is true. At the apex (the highest point), the projectile has stopped moving upwards and is about to begin moving downwards, thus at that instant, its vertical velocity is zero. However, the horizontal velocity at the apex remains constant and is not zero, provided that air resistance is negligible. This is because the horizontal motion is not affected by gravity, which is the only force acting on the projectile in ideal projectile motion conditions. Lastly, the vertical acceleration of a projectile at the apex is not zero; it is equal to the acceleration due to gravity, pointing downwards. Given this, the correct answer to the question is that only the first statement is correct. In two-dimensional projectile motion, the horizontal and vertical motions are analyzed separately.
