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A fixed morter fires a bomb at an angle ...

A fixed morter fires a bomb at an angle of `53^@` above the horizontal with a muzzle velocity of `80 ms^-1`. A tank is advancing directly towards the mortar on level ground at a constant speed of `5m//s`. The initial separation (at the instant mortar is fired) between the mortar and tank, so that the tank would be hit is `[Take g = 10 ms^-2]`

A

`662.4 m`

B

`526.3 m`

C

`486.6 m`

D

`678.4 m`

Text Solution

Verified by Experts

The correct Answer is:
D
`d=R+x`
`R=614.4`
`T=12.8 sec`
`AB=(5)12.8sec=64 m`
`d=614.4+64`
`=678.4m`
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