Range is maximum, when angle of projection `theta=45^(@)` the maximum horizontal range `R_(max)`

Assertion: Horizontal range is same for angle of projection theta and (90^(@)- theta) . Reason : Horizontal range is independent of angle of projection.

A particle is projected under gravity at an angle of projection 45^(@) with horizontal. Its horizontal range is 36m . Find maximum Height attained by particle.

Prove that the horizontal range is same when angle of projection is (i) greater than 45^(@) by certain value and (ii) less than 45^(@) by the same value.

If R and H represent horizontal range and maximum height of the projectile, then the angle of projection with the horizontal is

A projectile thrown with an initial speed u and the angle of projection 15^@ to the horizontal has a range R . If the same projectile is thrown at an angle of 45^@ to the horizontal with speed 2 u , what will be its range ?

The range of a projectile is R when the angle of projection is 40^(@) . For the same velocity of projection and range, the other possible angle of projection is

The maximum height attaine by a projectile is increased by 10% by increasing its speed of projecton, without changing the angle of projection. What will the percentage increase in the horizontal range.

The maximum height attaine by a projectile is increased by 10% by increasing its speed of projecton, without changing the angle of projection. What will the percentage increase in the horizontal range.

A body has maximum range R_1 when projected up the plane. The same body when projected down the inclined plane, it has maximum range R_2 . Find the maximum horizontal range. Assume equal speed of projection in each case and the body is projected onto the inclined plane in the line of the greatest slope.

In the following questions a statement of assertion (A) is followed by a statement of reason ( R). A: Horizontal range of a projectile is always same for angle of projection theta with horizontal or theta with vertical . R : Horizontal range depends only on angle of projection .