v = v₀t + at² / 2
2v = 2v₀t + at²
0 = at² + 2v₀t - 2v
at² + 2v₀t - 2v = 0
t₁ = (- 2v₀ + √((2v₀)² - 4a(- 2v))) / 2a
t₁ = (- 2v₀ + √(4v₀² + 8av)) / 2a
t₂ = (- 2v₀ - √(4v₀² + 8av)) / 2a
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v = v₀t + at² / 2
2v = 2v₀t + at²
0 = at² + 2v₀t - 2v
at² + 2v₀t - 2v = 0
t₁ = (- 2v₀ + √((2v₀)² - 4a(- 2v))) / 2a
t₁ = (- 2v₀ + √(4v₀² + 8av)) / 2a
t₂ = (- 2v₀ - √(4v₀² + 8av)) / 2a