Verifying the Accuracy of a Gun Aimed at a Falling Target

[TITO09]

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.

 

[asleight]

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?

 

[TITO09]

the movement in the y-direction is a projectile movement

 

[asleight]

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.