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A rocket is projected vertically upwords...

A rocket is projected vertically upwords. It explodes at the/ topmost point of its trajectory into three identical fragments . One of the fragments comes straight down in time t 1 while the1 other two land at a time `t_(2)` after explosion. Find the height at which the explosion ocurred in terms of `t_(1) and t_(2)` ?

A

`("gt"_(1)t_(2)(t_(2)+3t_1))/(2(t_(1)+t_(2)))`

B

`("g"t_(1)t_(2)^(2))/(2t_(3))`

C

`("gt"_(1)t_(2)(t_(1)+2t_2))/(2(2t_(1)+t_(2)))`

D

`("gt"_(1)t_(2)(2t_(1)+t_2))/(4(t_(1)+2t_(2)))`

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