Generally, no, an aeroplane is faster than a bullet. While a bullet travels at a high velocity, many aeroplanes, especially jet fighters, can achieve significantly greater speeds.
Here's a breakdown:
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Bullet Speed: A typical pistol bullet travels at around 1000 feet per second (fps), which equates to roughly 680 miles per hour (mph). Rifle bullets can be even faster.
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Aeroplane Speed: Commercial aeroplanes like the Boeing 747 have a cruising speed of about 650 mph. However, fighter jets are much faster. For example, some fighter jets can exceed Mach 2 (twice the speed of sound), which is over 1500 mph.
Therefore, while a bullet is very fast, most fighter jets are considerably faster. Even some commercial aircraft can approach the speed of a bullet.