An object is projected at an angle of 45∘ with the horizontal. The horizontal range and the maximum height reached will be in the ratio.
1 : 2
2 : 1
1 : 4
4 : 1
R=4H cot θ, if θ=45∘ then R=4H⇒RH=41
A stone projected with a velocity u at an angle θ with the horizontal reaches maximum height H1. When it is projected with velocity u at an angle (π2−θ) with the horizontal, it reaches maximum height H2. The relation between the horizontal range R of the projectile, H1 and H2 is