Gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the gun accurate only for a specific range. If a gun is sighted to hit targets that are at the same height as the gun and 75 m away at the same height, how low, as a positive number in meters, will the bullet hit if aimed directly at a target 165 m away? The muzzle velocity of the bullet is 275 m/s.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 9P
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Gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the gun accurate only for a specific range.

If a gun is sighted to hit targets that are at the same height as the gun and 75 m away at the same height, how low, as a positive number in meters, will the bullet hit if aimed directly at a target 165 m away? The muzzle velocity of the bullet is 275 m/s. 

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