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A gun is located at the bottom of a hill of constant slope 0. Show that the range of the gun

measured up the slope of the hill is

$$\frac{2v_0^2cos(α)sin(α-φ)}{gcos^2(φ)}$$

where a is the angle of elevation of the gun, and that the maximum value of the slope range is

$$\frac{v^2_0}{g(1+sin(φ))}$$

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