Where Do Two Juggled Balls Meet in Mid-Air?

[steven1495]

Homework Statement

Two balls are juggled so that each ball is in the air for 2.000s, and the second ball is thrown UP at the instant the first starts down. Find the height above the throwing hand where the two balls pass.
(Assume g_EARTH = 9.800m/s² down)

T_T=2.000s
g=9.800m/s² down

Homework Equations

d=v_ft-(1/2)at²
d=(v_f+v_i)/2

The Attempt at a Solution

Finding the max height
d=v_ft-(1/2)at²
d=0(1.000)-(1/2)(9.800)(1.000)²
d=4.900m

Finding the Initial Velocity
d=(v_f+v_i)/2
4.900=(0+v_i)/2
V_i=9.800m/s

This is all I could get. Many thanks to whoever helps steer me in the right direction

 

[azizlwl]

Let start the time when ball A starts to descent and ball B start to ascent is zero.
Let at time t they passed each other at height equal to h.

Or you can derive 2 equations of height ball A and B and solve for H.

 

[steven1495]

Let start the time when ball A starts to descent and ball B start to ascent is zero.
Let at time t they passed each other at height equal to h.

Or you can derive 2 equations of height ball A and B and solve for H.

Can you elaborate on this a bit?

 

[azizlwl]

Just write whatever equations of height for ball A and ball B that you might think of and we will make correction if they wrong.