A projectile is thrown at a speed which is twice its speed at its maximum height. If R and H are its range and maximum height respectively then the ratio R H is

Question

A projectile is thrown at a speed which is twice its speed at its maximum height. If R and H are its range and maximum height respectively then the ratio R H is, 4 3, 3 8, 2, 2 3

MARKS App · Accepted Answer

According to given question, u cos θ = u 2 , At maximum height speed at maximum height is, u cos θ . ⇒ cos θ = 1 2 Angle of projection is, θ = 60 ° Required ratio is, R H = u 2 sin 2 θ g u 2 sin 2 θ 2 g ⇒ R H = u 2 sin 2 θ g × 2 g u 2 sin 2 θ ⇒ R H = 2 sin 2 θ sin 2 θ ⇒ R H = 2 sin 2 × 60 sin 2 60 ⇒ R H = 2 × 3 2 3 2 2 ⇒ R H = 3 × 4 3 = 4 3

Search any question & find its solution

Looking for more such questions to practice?