A particle projected vertically upwards attains a maximum height H. If the ratio of the time to attain a height h (h

02−u2=2(−g)H⇒u=2gH ....(i)Time taken to reach H is t2 and Time taken to reach h is t1t1=t23=132Hg∵t1t2=13⇒h=ut1−12gt12⇒h=(2gH)132Hg−12g132Hg2h=2H3-H9hH=59