Question

The range R of a projectile is same when its maximum heights are h₁ & h₂. What is the relation between R, h₁ & h₂?

(a) R = √h₁ h₂  

(b) R = √ 2h₁ h₂  

(c) R = 2√h₁ h₂  

(d) R = 4√h₁ h₂

Answer 1

Answer is (d) R = 4√h₁ h₂ 

Range is same for angle of projection θ & 90 - θ

R = u² sin2θ/g, h₁ = u² sin² θ/2g

h₂ = u² cos² θ/2g

hence √h₁h₂ = u² sinθ cosθ/2g

= 1/4[u² sinθ/g] = R/4