One body falls freely from a point A at a height H + h (Fig.) whilst another body is projected upwards with an initial velocity v 0 from point C at the same time as the first body begins to fall. What thould the initial velocity v 0 of the second body be so that the bodies meet at a point B at a height h ? What is the maximum height attained by the second body for the given initial velocity ? Consider the case H = h separately.
Text Solution
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Sol. v 0 = 
; h max = 
.
The path traversed by the first body before it meets the second is
H = 
and by the second body before it meets the first is
H = v 0 t – 
After a simultaneous solution of these equations
v 0 = 
hence, h max = 
= 
(h max > h)
When H = h we have; v 0 = 
; h max = h.
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