Two bodies A and B are projected `sqrt2 u` and u respectively.They cover the same horizontal range.If body A is projected at `15^@` with horizontal,then what is the angle of projectio of bodyB?

Show that the horizontal range is maximum when angle of projection is 45^@ .

How many directions of projection are possible for the same horizontal range?

Show that there are two angles of projections for a projectile to have same horizontal range.

Two bodies of masses 10 kg and 20 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string, a horizontal force F = 600 N is applied to:-B along the direction of string. What is the tension in the string in each case?

When a projectile os projected at an angle with the horizontal, find the angle of projection for its maximum horizontal range and find the correspondg height achieved by the projectile?

If the angle of projection fo a projectile is doubled ,will the horizontal range become double ,keeping its velocity constant?

A body is projected so that it has maxium hoizontal range R.What is the maximum height reached during the flight?

Two bodies of masses 1 kg and 3 kg respectively are connected rigidly by a vertical spring. The body of mass 3 kg rests on a smooth horizontal surface. The force constant of the spring is 484Nm^(-1) . From the equilibrium position, the mass of 1 kg is displaced vertically through a distance of 0.02 m and then released. calculate (i) and frequency of oscillation of the mass of 1 kg (ii) the maximum velocity of this mass (iii) its oscillation energy and (iv) the reaction of the table on the mass of 3 kg, when mass 1 kg is having harmonic oscillations.

A projectile is projectile at an angle of 15^@ to te horizontal with speed v. if another projectile is rojected with the same speed, then at what angle with the horizontal it must be projected so as to have the same range.