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s = v·v₀ - v₀²/a + 1/2a·(v² -2v·v₀ + v₀²/a²)
s = v·v₀ - v₀²/a + a·(v² -2v·v₀ + v₀²/2a²
s = v·v₀ - v₀²/a + (v² - 2vv₀ + v₀²)/2a mnożymy obustronnie przez 2a i otrzymujemy
2·s·a = 2·v·v₀ - 2v₀² + v² - 2·v·v₀ + v₀²
2·s·a = v² - v₀²
z tego wyliczamy a
a = v² - v₀²/2·s