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Physics Motion in a Plane General Matrix Match Questions
Published on: September 13, 2026

Two guns, situated on the top of a hill of height 10 m, fire one shot each with the same speed ms -1 at some interval of time. One gun fires horizontally and other fires upwards at an angle of 60º with the horizontal. The shots collide in air at a point P. Find

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The correct answer is:
(ii) While for the second gun ; (iii) and For collision and i; (i) and ; (ii) co

As shown in Fig, from equation of motion for first gun,

and …… (ii)
While for the second gun

…… ..(iii)

and
For collision
and
i.e., and
i.e., and

Which on simplification gives and .
So, the interval between the firings and substituting and in Eqns. (i) and (ii) co-ordinates of point P will be .

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