﻿ Two hunters simultaneously aim their guns at a bird sitting on a tree. The first hunter fires his shot with velocity 117·6m/s at angle 30°. The second hunter ahead of first hunter by a distance 19·6√3 m fires his shot at angle 60° and both the shots hit the bird simultaneously. Find the speed of fire of shot by second hunter, the distance of foot of tree from first hunter and height of bird. from Physics Motion in A Plane Class 11 Manipur Board

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Two hunters simultaneously aim their guns at a bird sitting on a tree. The first hunter fires his shot with velocity 117·6m/s at angle 30°. The second hunter ahead of first hunter by a distance 19·6√3 m fires his shot at angle 60° and both the shots hit the bird simultaneously. Find the speed of fire of shot by second hunter, the distance of foot of tree from first hunter and height of bird.

The situation is as shown in figure.

A is the point of first shot.

With respect to A, the position of bird is

Position of first shot at any instant is,

As both the shots hit the bird simultaneously. Therefore at the instant of hitting, positions of both the shots will be same.

i.e.

From condition  we get

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