Ball colliding elastically then projectile motion from 3.19 m height

[pkossak]

This question was on my last test, and I got it wrong. If anyone could help me understand how to get the answer, I would really appreciate it!

A small metal ball with a mass of m = 91.7 g is attached to a string of length
l = 1.57 m. It is held at an angle of q = 47.5° with respect to the vertical.
The ball is then released. When the rope is vertical, the ball collides head-
on and perfectly elastically with an identical ball originally at rest. This
second ball flies off with a horizontal initial velocity from a height of h =
3.19 m, and then later it hits the ground. At what distance x will the ball
land?

I'm not even really too sure on how to approach it!

 

[mathmike]

you would use projectile motion on this one as well as angular acceleration.

ar = v^2 / r

the range of the projectile isd given by
R = (v062 * sin (2 theta)) / g

 

[pkossak]

Thanks a lot for the help, but is there anything else you can tell me. What's throwing me off is that I'm not sure how to find the velocity. I feel like I'm overlooking something simple

 

[mathmike]

first you would use the equation

a = g sin (theta)

then intergate to find vel

 

[pkossak]

Got it, thanks so much!