Q. 304.5( 8 Votes )

Prove that if a b

Answer :

Let,

u = Initial velocity


v = Final velocity


h = Height attained


a = acceleration


t = time


Ascent:


Ball thrown upward with velocity u. So, v = 0 at maximum height h. Also a = -g


Now, using v = u + at


0 = u - g


…..1


Where = time of ascent


Also, by using



u = …..2


From equations 1 and 2, we get,


…..A


Descent:


Ball comes down from height h. So, u = 0 and a = g.


So, using v = u + at


v = g …..3


Where = Time of descent


Now, using



v = …..4


From equations 3 and 4, we get,


…..B


From equations A and B, we see that,


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