Two guns, situated on the top of a hill of height , fire one shot each with the same…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Two guns, situated on the top of a hill of height 10 m10 \text{ m}, fire one shot each with the same speed 53 m s−15\sqrt{3} \text{ m s}^{-1} at some interval of time. One gun fires horizontally and other fires upwards at an angle of 60∘60^\circ with the horizontal. The shots collide in air at a point PP. Find. Take origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in x−yx-y plane. (i) the time-interval between the firings (ii) the coordinates of the point PP

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