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A rifle is aimed horizontally at a target 45 m away. The bullet hits the target 2.1 cm below the aim point. What is the vertical distance between the aim point and the point where the bullet hits the target?

Answer :

The horizontal distance between the aim point and the point where the rifle bullet hits the target is 45 m, the same as the given distance to the target. The 2.1 cm drop is a vertical distance due to gravity, not a horizontal one.

This scenario represents a classic example of projectile motion, where the bullet experiences free-fall vertically while moving at constant horizontal velocity. The given details are that the target is 45 m away horizontally and the bullet hits the target 2.1 cm (or 0.021 m) below the aim point. Assuming the bullet travels horizontally with no vertical motion initially and using the constant velocity for the horizontal motion, we find that the horizontal distance is equivalent to the given distance, which is 45 meters. The drop below the aim point is due solely to the acceleration due to gravity on the bullet.

However, it is important to note that the actual question from the student seems to be incorrectly phrased or incomplete. The value '2.1 cm below the target' is a vertical distance, not horizontal. So if the question intended to ask for the time it took for the bullet to travel to the target, one would use the formula distance = velocity x time to calculate that time. It would involve solving for the time taken for the bullet to fall 2.1 cm vertically under the influence of gravity. To answer the question as it's stated, the horizontal distance is simply the 45 meters between the rifle and the target, since horizontal velocity remains constant in projectile motion in the absence of air resistance.

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Rewritten by : Jeany