two bodies are thrown with the same initial velocity at angle a and (90-a) with the horizontal. What will be the ratio of the maximum heights attained by them?
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maximum height attained by projectile is ,H=
2g
u
2
sinθ
so, ratio,
H
2
H
1
=
sin(90
0
−α)
sinα
=
cosα
sinα
=tanα
Range is given by, R=
g
u
2
sin2θ
so ratio in both case,
R
2
R
1
=
sin2(90
0
−α)
sin2α
=
sin(180
0
−2α)
sin2α
=
sin2α
sin2α
=1
so, R
1
=R
2
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