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Beliebt Geometry >

leitkurve 0.3+5.5t-4.9t^2

Lösung

leitkurve

0.3 + 5.5 t - 4.9 t^{2}

Lösung

y = 1.89438 \dots

Schritte zur Lösung

Rewrite

y = 0.3 + 5.5 t - 4.9 t^{2}

in the standard form

4 (- 0.05102 \dots) (y - 1.84336 \dots) = (t - 0.56122 \dots)^{2}

(h, k) = (0.56122 \dots, 1.84336 \dots), p = - 0.05102 \dots

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(0.56122 \dots, 1.84336 \dots)

y-coordinate

y = 1.84336 \dots - p

y = 1.84336 \dots - (- 0.05102 \dots)

Fasse zusammen

y = 1.89438 \dots

Graph

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