A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is α = 3 0 ∘ , and the angle of the barrel to the horizontal β = 6 0 ∘ . The initial velocity v of the shel

Question

A shell is fired from a gun from the bottom of a hill along its slope. The slope of the hill is α = 3 0 ∘ , and the angle of the barrel to the horizontal β = 6 0 ∘ . The initial velocity v of the shell is 21 m/sec. Find the distance from the gun to the point at which the shell falls.

TestHub · Accepted Answer

Range along the slope: L = g c o s 2 α 2 v 2 c o s β s i n ( β − α ) ​ = 9.8 × c o s 2 3 0 ∘ 2 × 441 × c o s 6 0 ∘ × s i n 3 0 ∘ ​ = 7.35 220.5 ​ = 30 m . Matches the printed answer.

Physics - Kinematics Question with Solution | TestHub

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