Archer's Arrow & Watch: Same Time or After?

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In the scenario presented, both the arrow and the watch are subject only to gravity, meaning they will fall at the same rate regardless of their horizontal motion. The watch, falling vertically, will hit the ground simultaneously with the arrow, which is traveling horizontally. The horizontal motion of the arrow does not affect the time it takes for it to drop to the ground since gravity acts equally on both objects. The discussion highlights a common misconception about horizontal forces impacting vertical motion. Ultimately, both the arrow and the watch will reach the ground at the same time.
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An archer aims an arrow exactly horizontal over a flat field. At the same instant, the archer's watchband breaks and the watch falls to the ground. Does the watch hit the ground the same time as or after the arrow hits the ground and why.
 
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The only force on either object is gravity. Does that help? If you're still confused, you'll need to show what you've tried
 
I figured the watchband would fall first. Since vertical force of gravity has no effect on the horizontal motion, the arrow would have a horizontal force to overcome before reaching a net zero and dropping. The watch is already at net zero...?
 
Sabres, what horizontal force is on the arrow? And why does this force need to reach zero before it can begin to drop?
 
Thanks Office, looks like I was over thinking the whole thing. :cool:
 

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