An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range R . To hit a target which is R 2 from the gun and on the same level, the angle of elevation of the gun should be

Question

An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range R . To hit a target which is R 2 from the gun and on the same level, the angle of elevation of the gun should be, 15 °, 45 °, 30 °, 60 °

MARKS App · Accepted Answer

R max = R = u 2 g (at an angle of 45 ° u 2 = Rg Using Range = u 2 sin 2 θ g then R 2 = Rg sin 2 θ g sin 2 θ = 1 2 2 θ = 3 0 o ⇒ θ = 1 5 o

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