A knight atop a high castle is preparing a canon to fire. The canon is aimed horizontally, and just as the canon fires, the knight clumsily knocks over a spare canonball off the wall and it falls vertically down to the ground. Assuming both canonballs leave the wall from the same height, which will hit the ground first? Both hit the ground at the same time. The canonball that falls vertically down. The canonball fired from the canon.
Question
A knight atop a high castle is preparing a canon to fire. The canon is aimed horizontally, and just as the canon fires, the knight clumsily knocks over a spare canonball off the wall and it falls vertically down to the ground. Assuming both canonballs leave the wall from the same height, which will hit the ground first? Both hit the ground at the same time. The canonball that falls vertically down. The canonball fired from the canon.
Solution
Both cannonballs will hit the ground at the same time. This is because the horizontal motion of the cannonball fired from the cannon does not affect its vertical motion. Both cannonballs are subject to the same acceleration due to gravity, so they will hit the ground at the same time, assuming they are dropped from the same height and there is no air resistance.
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