Verifying the Accuracy of a Gun Aimed at a Falling Target

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SUMMARY

The discussion focuses on verifying the accuracy of a gun aimed at a falling target, specifically a can released simultaneously with the gunfire. The key equation involved is Yo = (x)(tan(angle)), which relates the initial position and angle of the gun to the trajectory of the bullet. The consensus is that as long as the bullet's initial speed is sufficient to reach the can before it hits the ground, the gun will hit the target. Newton's First Law is applied to analyze the motion of both the bullet and the falling can.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with Newton's First Law of Motion
  • Knowledge of trigonometric functions, specifically tangent
  • Basic algebra for solving equations
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  • Learn how to apply Newton's Laws to different scenarios
  • Explore the concept of initial velocity and its impact on projectile trajectories
  • Investigate the effects of angle on projectile motion using simulations
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Students in physics, educators teaching projectile motion, and anyone interested in the practical applications of Newton's Laws in real-world scenarios.

TITO09
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Homework Statement



A gun is aimed directly at a can, which is simultaneously released when the gun is fired. This gun won't miss as long as the initial speed of the bullet is sufficient to reach the falling target before the target hits the floor. Verify this statement.

Homework Equations



Yo=(x)(tan(angle))

The Attempt at a Solution



I have no idea how to do this.
 
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TITO09 said:

Homework Statement



A gun is aimed directly at a can, which is simultaneously released when the gun is fired. This gun won't miss as long as the initial speed of the bullet is sufficient to reach the falling target before the target hits the floor. Verify this statement.

Homework Equations



Yo=(x)(tan(angle))

The Attempt at a Solution



I have no idea how to do this.

You already know that the bullet is fired fast enough to get to the can. So, what do you know about the motion of the objects in the y-direction?
 
the movement in the y-direction is a projectile movement
 
TITO09 said:
the movement in the y-direction is a projectile movement

Apply Newton's First Law to each of the objects and tell me what you decide.
 

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