Home Physics Motion in a Plane General Two guns, situated on the top of a hill of h…
Physics Motion in a Plane General MCQ (Single Correct)

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

A
the time-interval between the firings, and
B
the coordinates of the point P. Take origin of the coordinate system at the foot of the hill right below the muzzle and trajectories in x-y plane.

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Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

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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