Home
Class 12
PHYSICS
Two guns situated at the top of a hill o...

Two guns situated at the top of a hill of height `10 m` fire one shot each with the same speed `5sqrt(3) m//s` at some interval of time. One gun fires horizontal and the other fores upwards at an angle of `60^(@)` with the horizontal. Two shots collide in air at a poit `P`. Find (i) time-interval between the firing and (ii) coordinates of the point `P`. Take the origin of coordinates system at the foot of the hill right below the muzzle and trajectorise in the `x-y` plane.

Text Solution

Verified by Experts

The correct Answer is:
(i) 1s. (ii) `(5sqrt3 m, 5m)`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-1)|40 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (S-1)|30 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

Similar Questions

Explore conceptually related problems

The top of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 30^(@) with the horizontal, then its length is……….m

A projectile is fired at an angle of 45^(@) with the horizontal. Elevation angle of the projection at its highest point as seen from the point of projection is

A particle is projected with a velocity of 30 m//s at an angle 60^(@) above the horizontal on a slope of inclination 30^(@) . Find its time of flight.

a ball is thrown with 25 m//s at an angle 53^(@) above the horizontal. Find its time to fight, maximum height and range.

Just after firing, a bullet is found to move at an angle of 37^(@) to the horizontal. Its acceleration is 10 m//s^(2) downwards. Find the component of its acceleration in the direction of its velocity.

A ball is projected at an angle of 30^(@) above with the horizontal from the top of a tower and strikes the ground in 5s at an angle of 45^(@) with the horizontal. Find the height of the tower and the speed with which it was projected.

A tree stands vertically on a hill side which makes an angle of 15^(@) with the horizontal. From a point on the ground 35m . Down the hill from the base of the tree, the angle of elevation of the top of the tree is 60^(@) . Find the height of the tree.

A particle is fired with velocity u making angle theta with the horizontal.What is the change in velocity when it is at the highest point?

Two particles P & Q are projected simultaneously from a point O on a level ground in the same vertical plane with the same speed in directions making angle of 30^(@) and 60^(@) respectively with the horizontal.

Two bodies are thrown with the same initial speed at angles alpha and (90^(@) -alpha) with the horizontal. What will be the ratio of (a) maximum heights attained by them and (b) horizontal ranges ?