EAMCET Engineering 2005 Solved Paper

Time taken by the body to reach the point A is t1 (During upward journey).
The body crosess this point again (during downward journey) after t2, i.e., the body takes the time (t2−t1) to come again at point A.
So, the time taken by the body to reach at point B (at maximum height).

t=t1+(‌

t2−t1

2

)
[∵ Time of ascending = Time of descending ]
t=‌

t1+t2

2

So, maximum height, H=‌

1

2

gt2=‌

1

2

g(‌

t1+t2

2

)2
=2g(‌

t1+t2

4

)2