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Relation between h d and u

Asked by Prashant DIGHE 13th July 2019, 9:58 AM
Answered by Expert
Let particle P1 is dropped from height h. If it hits the ground after t seconds, then we have,  h = (1/2)gt2 ...............(1)
during this time t seconds, particle P2 has travelled a horizontal distance d with horizontal velocity  u m/s.
Hence we have,      t = d/u .................(2)
substituting for t using eqn(2),  eqn.(1) is rewritten as,  h = (1/2) g (d/u)2 
hence we have,  h = gd2 /(2u2)
Answered by Expert 13th July 2019, 10:45 AM
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