﻿ Two bodies are placed at a distance 4 km and 6·5 km from the gun. When the bullet is fired at an angle of 30° with horizontal, it hits the body at 4 km. At what angle the bullet should be fired so that it may hit the second body? from Physics Motion in A Plane Class 11 Manipur Board

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Two bodies are placed at a distance 4 km and 6·5 km from the gun. When the bullet is fired at an angle of 30° with horizontal, it hits the body at 4 km. At what angle the bullet should be fired so that it may hit the second body?

Horizontal range is given by,

Therefore the ratio of horizontal ranges R1 and R2 for angles of projections θ1 and θ2 is,

∴

We have here,

Therefore,

, which is not possible.

Therefore for same speed of bullet, the bullet can not hit the body at a distance of 6·5km.

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