Ball Drop and Projectile Motion: When Will They Meet?

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A ball dropped from a 100m cliff and another thrown upwards will meet at a distance of 25m from the top of the cliff. The calculations involve using kinematic equations to determine the time and displacement of both balls. The initial velocity of the upward-thrown ball was calculated to ensure it reaches the top. The equations were set up to find the point where the sum of the displacements equals the height of the cliff. The discussion confirms that the answer of 25m from the top is correct.
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A ball is dropped from a 100m cliff. at the same time another ball is thrown up such that it has enough velocity to reach the top. at what distance from top of the cliff will the two balls meet?
 
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Chet
 
let the two balls pass at t sec
the initial velocity of the ball is =
v^2-u^2=2as
0-u^2=2*-10*100
u=20(5)^1/2
therefore displacement of ball in tsec=
s1=ut+1/2a(t)^2
s1=(20(5)^1/2)t- 1/2g(t)^2......1
the displacemt of other ball in t sec =
s2=1/2g(t)^2.......2
eq 1 +eq 2=100
(20(5)^1/2)t=100
t=(5)^1/2
therefore they will pass each other at
1/2g(5)=25m from the top
 
So you didn't need any help with it after all?

Chet
 
i just wanted to know wheather my answer is correct
 
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