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## Homework Statement

Three children are throwing snowballs at each other. Child A throws a snowball with a horizontal velocity, V

_{0}. If the snowball just passes over the head of child B and hits child C, determine (a) value of V

_{0}, (b) distance d.

## Homework Equations

V

_{0}= V

_{0,x}+ V

_{0,y}

V

_{0,x}=V

_{i}*cos([tex]\theta[/tex])

V

_{0,y}=V

_{i}*sin([tex]\theta[/tex])

x=x

_{0}+v*t

v=v

_{0}+a*t

x=x

_{0}+v

_{0}*t+[(1/2)*a*t

^{2}]

v

^{2}=v

_{0}

^{2}+2*a(x-x

_{0})

## The Attempt at a Solution

Thus far I am beating my head against the wall in the very beginning. I feel like I am missing something here; I feel like if I had been given the initial velocity I would be having a much easier time solving anything else. I know that the vertical acceleration is a constant -9.81 m/s

^{2}, but I am unsure of the horizontal components' acceleration, seeing as how I do not know the final distance, the time, or the initial velocity. (and in my case, the acceleration for the horizontal component as well.) Also if it helps, I'm setting the child point A as my origin.

I know I'm missing something here...could anyone take pity on me and help end my three hour-long blight of face-to-desk'ing? Thank you!

**4. F.B.D.**

Unfortunately, I do not have a diagram with me...however the post this fellow made over at Cramster is a crude representation. From Child A to B, there is a vertical distance of 1 m, and a horizontal distance of 7m; and from child B to C, there is a vertical distance of 2 m, and a horizontal distance "d".

http://www.cramster.com/answers-jan-10/mechanical-engineering/kinematics-particles-1198-children-throwing-snowballs_750535.aspx

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