Aiming for the Bull's Eye: Accounting for Gravity

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SUMMARY

The discussion focuses on calculating the necessary vertical aim adjustment for an archer shooting horizontally at a target 40 meters away with an arrow velocity of 90 m/s. The time taken for the arrow to reach the target is approximately 0.444 seconds. During this time, the arrow falls vertically due to gravity, approximately 9.81 meters, necessitating an aim adjustment of about 0.444 meters above the bull's eye to hit the target accurately.

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  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with the equations of motion under constant acceleration.
  • Knowledge of gravitational acceleration, specifically 9.81 m/s².
  • Ability to perform basic algebraic calculations.
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VashtheStampede
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an acher shatneds 40m away from his target. If the arrow is shot horizontally with a velocity of 90m/s how far above the bull's eye must he aim to compensate for gravity pulling down. No air resistance and I guess the target is level with him.
 
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How long does it take for the arrow to reach the target? How far would the arrow fall vertically in that amount of time?
 

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