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Q.

An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range R. To hit a target which is R2 from the gun and on the same level, the elevation angle of the gun should be:

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a

15o

b

45o

c

30o

d

60o

answer is A.

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Detailed Solution

Rmax.=R=u2g or u2=Rg Now, as range=u2sin⁡2θg Then R2=Rgsin⁡2θg or sin⁡2θ=12=sin⁡30∘ θ=15∘

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An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range R. To hit a target which is R2 from the gun and on the same level, the elevation angle of the gun should be: