The lab manual derived an equation to determine the projectile velocity if we fired it into a ballistic pendulum assuming the simplest approach (measuring change in height): v ⃑_1=(m+M)/m √2g∆h However, mechanically the simplest way is to measure the max angle the pendulum swings up to. Knowing the geometry, you can derive a substitution using trigonometry. Show how you would derive the substitution: ∆h=R_CM (1-cos⁡〖θ)〗