Initial Velocity of a Projectile

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SUMMARY

The problem involves calculating the initial velocity of a projectile, specifically a ball shot from a slingshot that clears a 10-meter fence located 130 meters away and lands 10 meters behind it. The relevant equations include Delta Y = Voyt + 1/2at² and Delta X = Voxt. The solution requires treating the trajectory in two segments: one up to the fence and one after. The initial velocity for the second segment must equal the final velocity from the first segment, ensuring continuity in the projectile's motion.

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AngeliaGW
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Homework Statement



A ball is shot from a slingshot and clears a 10 meter fence 130 meters from the point of being flung and lands 10 meters behind the fence. What is the initial velocity of the ball? Assume the ball was caught at the same level it was kicked (delta Y=0).


Homework Equations



Delta Y=Voyt+1/2at^2
Delta Y=Vfy^2-Voy^2/at
Delta X=Voxt

The Attempt at a Solution



I'm unsure how to solve this problem as it involves multiple unknown variables. I think it involves 2 separate problems, one that is up to the fence and one that is after the fence. So 130=Voxt and 140=Voxt. For Delta Y, it would be Voy=4.9t. Please help :(
 
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Is it possible to assume that right when the ball passes the fence, that the initial velocity is 0 if I divide the problem into two? (One up to the fence, and one after the fence)
 
AngeliaGW said:
Is it possible to assume that right when the ball passes the fence, that the initial velocity is 0 if I divide the problem into two? (One up to the fence, and one after the fence)
No.

You can divide it in two, but the initial velocity for the second part should be the same as the final velocity from the first part.
 

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