Derivation of the Change in Height of Ballistic Pendulum

| cos q = H/L | Pythagoran Theorem |
| H = L cos q | Multiply both sides by L |
| L = H + Hchange | It is the same string |
| L = L cos q + Hchange | Substitute |
| Hchange = L - L cos q | Subtract L cosq from both sides |
Hchange = L(1 - cos q )
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