How long before or after the first body starts to fall and with what initial velocity should a body be projected upwards from point C (see problem 1) to satisfy simultaneously the following conditions:
(1) The bodies meet at point B at a height h
(2) the height h is the maximum height which the projected body reaches ?
Text Solution
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Sol. t = 
; v 0 = 
The time the body takes in falling from A to B is t 1 = 
. The time of rise of the body from C to the highest point is t 2 = 
.
The required time t = t 1 – t 2 = 
= 
.
If H > h, the second body should be thrown after some delay; when H = h, the bodies should be thrown simultaneously; when H < h the second body should be thrown before the first begins to fall.
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