s(t)=1/2 at^2 + vt+c…
s =1/2 at^2 + vt + c
s - c = 1/2 * at^2 + vt | * 2
2s - 2c = at^2 + 2vt | : a
( 2s - 2c ) / a = t^2 + ( 2v/a ) * t
t^2 + ( 2v/a ) * t = ( 2s - 2c ) / a
quadratische Ergänzung
t^2 + ( 2v/a ) * t + ( v/a)^2 = ( 2s - 2c ) / a + ( v/a)^2
( t + v/a )^2 = ( 2s - 2c ) / a + ( v/a)^2
t + v/a = ± √ [ ( 2s - 2c ) / a + ( v/a)^2 ]
t = ± √ [ ( 2s - 2c ) / a + ( v/a)^2 ] - v/a
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