Two bodies are projected at angles θ and (90 - θ) with same velocity 'u'. What is the sum of heights reached by them?
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Case 1 : Angle of projection is θ.
Time of flight T=
g
2usinθ
....(1)
where u is the speed of projection.
Case 2 : Angle of projection is 90
o
−θ.
Time of flight T=
g
2usin(90
o
−θ)
=
g
2ucosθ
....(2)
Thus, ratio of time of flight
T
2
T
1
=
cosθ
sinθ
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