The maximum height attained by a projectile is increased by 5%. Keeping the angle of projection constant, what is the percentage increase in horizontal range?

If h be the maximum height attained by the projectile thenh = u2sin2θ2g or R = u2sin 2θgRh = 2 sinθcosθ(sin2θ)2 = 4 cotθTherefore ∆RR = ∆hhPercentage increase in R = percentage increase in ym = 5%