Two guns (A and B) are pointed at each other, A upwards at an angle of 30° with horizontal and B at the same angle of depression as shown in figure. The guns are 40 m apart. If the gun A fires (shot) at the velocity of 350 m/s and gun B fires (shot) at the velocity of 300 m/s respectively at the same time. The shots meet at M. What will be the time of meeting after firing?

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Question

This question was previously asked in

BHEL Engineer Trainee Mechanical 24 Aug 2023 Official Paper

Answer 1

Concept:

To find the time of meeting of the two shots, we consider the relative motion of the projectiles in the horizontal direction.

Given:

Distance between guns, d = 40 m

Velocity of shot from Gun A, v_A = 350 m/s

Velocity of shot from Gun B, v_B = 300 m/s

Angle of projection,

Calculation:

Resolving velocities into horizontal components:

m/s

The relative velocity in the horizontal direction is:

m/s

Using the formula,

Approximating ,

seconds