The maximum height reached by projectile is `4 m`. The horizontal range is `12 m`. The velocity of projection in `m s^-1` is (g is acceleration due to gravity)

The ratio of maximum height reached by a particle projected under gravity to its horizontal range is 1:4 The angle of projection initially is

A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)

The maximum horizontal range of projectile on the earth is R . Then for the same velocity of projection, its maximum range on another planet is (5R)/4 . Then, ratio of acceleration due to gravity on that planet and on the earth is

Assertion: For projection angle tan^(-1)(4) , the horizontal range and the maximum height of a projectile are equal. Reason: The maximum range of projectile is directely proportional to square of velocity and inversely proportional to acceleration due to gravity.