Question

The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are R₁, R₂ and H₁, H₂ respectively. Choose the correct option :

(1) R₁ > R₂ and H₁ = H₂

(2) R₁ = R₂ and H₁ < H₂

(3) R₁ < R₂ and H₁ < H₂

(4) R₁ = R₂ and H₁ = H₂

Answer 1

 Correct Option is (2) R₁ = R₂ and H₁ < H₂

Range R = \(\frac{u^2\,sin\,2\theta}g\) and same for \(\theta\) and 90 - \(\theta\)

So same for 42° and 48°

Maximum height H = \(\frac{u^2sin^2\theta}{2g}\) 

H is high for higher \(\theta\)

So H for 48° is higher than H for 42°