Verifying the Accuracy of a Gun Aimed at a Falling Target

AI Thread Summary
A gun aimed at a falling target will hit it if the bullet's initial speed is sufficient to reach the target before it hits the ground. The motion of the bullet and the falling target can be analyzed using projectile motion principles. Newton's First Law can be applied to both the bullet and the can, indicating that both will follow predictable paths due to gravity. The key is to calculate the time it takes for the target to fall and ensure the bullet reaches it within that timeframe. This confirms that the gun will not miss as long as the bullet is fired with adequate speed.
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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