Entry Test MCQ :: Motion and Force

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Which shows the correct relation between time of flight T and maximum height H?

[A].	H=gT2/8	[B].	H=8T2/g
[C].	H=8g/T2	[D].	H=gT2

Answer: Option A

Vaneeza said:

Can someone please prove this by derivation?

iqra said:

t=2visin(0)/g gt/2=visine(0) (gt/2)^2=(visine0)^2 g^2t^2/4=vi^2sine0^ h=vi^2sine^2/2g h=1/2(vi^2sine^2).........(1) now putting the value of vi^2sine^2in 1 h=1/2(g^2t^2/4) h=g^2t^2/8