A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is `alpha = 30^(@)`, and the angle of the barrel to the horizontal `beta = 60^(@)`. The initial velocity u of the shell is `21 ms^(-1)`. Find the distance from the gun to the point at which the shell falls.

A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is prop = 30^@ and the angle of the barrel to the horizontal beta = 60^@ . The initial velocity v of the shell is 21 m s^-1 . Then find the distance of point from the gun at which the shell will fall.

A stone is thrown by a student from the bottom of a hill with a velocity 30 ms^(-1) making an angle of 60^(@) with the horizontal. If the slpe of the hill is 30 ^(@) with the horizontal. Find the distance from the student to a point at which the stone fals on hill, use g= 10 ms^(-2) .

A bullet is fired from a gun falls at a distance half of its maximum range. The angle of projection of the bullet can be :

A shell of mass m is fired from a gun of mass km which can reecoil freely on a horizontal plane, the elevation of the gun is 45^(@) . Find the ratio of te energy of the shell to that of the gun.

A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generate 1.05 kJ of energy. The initial velocity of the shell is

A cannot fires from under a shelter inclined at an angle alpha to the horizontal (Fig.). The cannot is at point A at a (distance l from the base of the shelter (point B). The initial velocity of the shell is v_(0) , and its trajectory lies in the plane of the figure. Determine the maximum range L_(max) of the shell.

A man standing on the deck of a ship,which is 10m above water level,observes the angle of elevation of the top of a hill as 60^(@) and the angle of depression the base of hill as 30^(@) . Find the distance of the hill from the ship and the height of the hill.

A projectile is fired from the base of coneshaped hill. The projectile grazes the vertex and strikes the hill again at the base.If alpha be the half-angle of the cone, h its height, u the initial velocity of projection and theta angle of projection, then then theta tan theta is

A shell fired from the base of a mountain just clears it. If alpha is the angle of projection, then the angular elevation of the summit beta is