A bodyfell from restfrom a height Habove the ground. In the last 1 sec of the its fall, it travelled a distance H/2. Find the value of H
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h= 2 1 gt 2 Let total time of fall =T ∴h= 2 1 gT 2 and h = 2 1 g(T−1) 2 [upto(T−1)s]
∴2= (T−1) 2 T 2 ⇒ T−1 T = 2 T= 2 T− 2 ⇒( 2 −1)T= 2 T= ( 2 −1) 2 = ( 2 −1) 2 ×2 +1 2 +1 = (2−1)2 ( 2
+1) =2+ 2
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