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A bullet is fired from a gun with a speed of 1000 m/s in order to hit a target 100 m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s²)

1. 5 cm
2. 10 cm
3. 15 cm
4. 20 cm

Correct answer: 10 cm

Solution

The time taken by the bullet to reach the target is t = distance/speed = 100/1000 = 0.1 s. The vertical displacement due to gravity is h = 0.5 * g * t² = 0.5 * 10 * (0.1)² = 0.05 m = 5 cm. Thus, the gun should be aimed 10 cm above the target to account for the bullet's downward motion.

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