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a body projected in vertically upward direction is at same height after time t1 and t2 from start. the total time of flight is
The answer is time=t1+t2.
How?
x=ut-.5gt2
2x=2ut-gt2
gt2 -2ut+2x=0
as t1 and t2 are roots of this equation hence
t1+t2=2ut/g. 1 equation
Now consider a normal plot in where a ball comes back and we find its total flight time-
0=ut-1/2gt2
.5gt2=ut
.5gt=u
2u/g=t 2nd equation
from 1 and 2 nd equation
t=t1+t2
Regards,
Prakhar
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