(1/2)(8)(7)^2+8(9.81)(20)= 1/2 (8)v^2

Lösung

(\frac{1}{2}) (8) (7)^{2} + 8 (9.81) (20) = \frac{1}{2} (8) v^{2}

v = \frac{2207}{5}, v = - \frac{2207}{5}

Dezimale

v = 21.00952 \dots, v = - 21.00952 \dots

Schritte zur Lösung

(\frac{1}{2}) (8) (7)^{2} + 8 (9.81) (20) = \frac{1}{2} (8) v^{2}

Tausche die Seiten

\frac{1}{2} (8) v^{2} = (\frac{1}{2}) (8) (7)^{2} + 8 (9.81) (20)

Vereinfache

(\frac{1}{2}) (8) \cdot 7^{2} + 8 (9.81) (20) : 1765.6

\frac{1}{2} 8 v^{2} = 1765.6

Vereinfache

\frac{1}{2} (8) : 4

4 v^{2} = 1765.6

Teile beide Seiten durch

4

v^{2} = 441.4

Für

x^{2} = f (a)

sind die Lösungen

x = f (a), - f (a)

v = 441.4, v = - 441.4

441.4 = \frac{2207}{5}

- 441.4 = - \frac{2207}{5}

v = \frac{2207}{5}, v = - \frac{2207}{5}

k = \frac{m v ^{2}}{2}

x^{2} + 15 + 56 = 0

x (x - 6) = 27

- 16 t^{2} + 112 t + 84 = 0

100 - 200 = 2 q + q^{2}