Range and trajectory

If R be the range of a projectile on horizontal plane, and H1 and H2 be the maximum heights for its two possible trajectories,find the relation between the given parameters.

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263
Sushovan Halder ·

R = u2 sin(2α)/g............(1)
H1=u2(sinα)2/2g..........(2)
H2=u2(cosα)2/2g.........(3) bcoz the angle is 90-α in this case.In both the cases R will not be affected since sinA=sin(180-A)
From (2) and (3) calculate sinα and cosα and put it in (1) to get R=4√H1H2.

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