A particle is projected with a velocity v , so that its range on a horizontal plane is twice the greatest height attained. If g is the acceleration due to gravity, then its range is -

Question

A particle is projected with a velocity v , so that its range on a horizontal plane is twice the greatest height attained. If g is the acceleration due to gravity, then its range is -, 4 v 2 5 g, 4 g 5 v 2, 4 v 2 5 g 2, 4 v 5 g 2

MARKS App · Accepted Answer

∵ R = 2 H ∴ 2 v 2 s i n θ c o s θ g = 2 v 2 s i n 2 θ 2 g ⇒ t a n θ = 2 ⇒ R = 2 v 2 s i n θ ( c o s θ ) g = 2 v 2 2 5 1 5 g = 4 v 2 5 g

Search any question & find its solution

Looking for more such questions to practice?