Show that a given gun will shoot three times as high when elevated at an angle of `60^(@)` as when fired at angle of `30^(@)` but will carry the same distance on a horizontal plane.

Show that a gun will shoot woll shoot three times as hith when elevated at an angle of 60^(@) as when fired at an angle 30^(@) but will have the same horizontal rande.

A car is traveling on a straight level track with a uniform speed of 25 m/s. When the car is moving away from a gun at the same level at a distance of 1500 m the gun is fired at an angle of 45^(@) . Find the distance of the car (kilometers) from the gun when it is hit.

Two guns are situated at the top of a hill firing the shots at the same speed. One gun fires the shot horizontally and other gun fires the shot at an angle of 60^@ with horizontal. Two two shots collide in air. If the time taken by horizontal shot to reach the point of collision in 3 seconds , find the time interval between two shots.

A particle is thrown at time t=0 with a velocity of 10 m/s at an angle of 60^(@) with the horizontal from a point on an incline plane, making an angle of 30^(@) with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is :

A gun kept on a striaght horizontal is used to hit a car, traveling along the same road away form the gun with a unfrom speed 20 m//s . The car is at a distance 0f 160 m from the gun, when the gun is fired at an angle of 45^(@) with the horizontal Find the distance of the car from the gun when the shell hits it and the speed of projection of the shell from the gun.

A boy throws four stones' of same shape, size and weight with equal speed at different initial angles with the horizontal line. If the angles are 15°, 30°, 45° and 60°, at which angle the stone will cover the maximum distance horizontally?