Question

A bullet fired at an angle 60°with the vertical hits the levelled ground at a distance of 200m. Find the distance at which the bullet will hit the ground when fired at 30° with same speed

Answer 1

R = u^2 Sin2x / g

R ∝ Sin2x

R1 / R2 = (Sin2x1 / Sin2x2)
R2 = R1 * (Sin2x2 / Sin2x1)
R2 = 200 * (Sin60 / Sin120)
R2 = 200 * 1 ……[∵ Sin60 = Sin120]
R2 = 200 m

Bullet will again hit the ground at a distance of 200 m.