Solve v^2=(0)^2+2(1.432*10^-6)(2)

$$v ^ { 2 } = ( 0 ) ^ { 2 } + 2 ( 1.432 \times 10 ^ { - 6 } ) ( 2 )$$

Solve for v

$$v=\frac{\sqrt{895}}{12500}\approx 0.002393324$$

$$v=-\frac{\sqrt{895}}{12500}\approx -0.002393324$$

Steps by Finding Square Root

Calculate 0 to the power of 2 and get 0.

$$v^{2}=0+2\times 1.432\times 10^{-6}\times 2$$

Multiply 2 and 1.432 to get 2.864.

$$v^{2}=0+2.864\times 10^{-6}\times 2$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$v^{2}=0+2.864\times \frac{1}{1000000}\times 2$$

Multiply 2.864 and \frac{1}{1000000} to get \frac{179}{62500000}.

$$v^{2}=0+\frac{179}{62500000}\times 2$$

Multiply \frac{179}{62500000} and 2 to get \frac{179}{31250000}.

$$v^{2}=0+\frac{179}{31250000}$$

Add 0 and \frac{179}{31250000} to get \frac{179}{31250000}.

$$v^{2}=\frac{179}{31250000}$$

Take the square root of both sides of the equation.

$$v=\frac{\sqrt{895}}{12500} v=-\frac{\sqrt{895}}{12500}$$

Steps Using the Quadratic Formula

Calculate 0 to the power of 2 and get 0.

$$v^{2}=0+2\times 1.432\times 10^{-6}\times 2$$

Multiply 2 and 1.432 to get 2.864.

$$v^{2}=0+2.864\times 10^{-6}\times 2$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$v^{2}=0+2.864\times \frac{1}{1000000}\times 2$$

Multiply 2.864 and \frac{1}{1000000} to get \frac{179}{62500000}.

$$v^{2}=0+\frac{179}{62500000}\times 2$$

Multiply \frac{179}{62500000} and 2 to get \frac{179}{31250000}.

$$v^{2}=0+\frac{179}{31250000}$$

Add 0 and \frac{179}{31250000} to get \frac{179}{31250000}.

$$v^{2}=\frac{179}{31250000}$$

Subtract \frac{179}{31250000} from both sides.

$$v^{2}-\frac{179}{31250000}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{179}{31250000} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$v=\frac{0±\sqrt{0^{2}-4\left(-\frac{179}{31250000}\right)}}{2}$$

Square 0.

$$v=\frac{0±\sqrt{-4\left(-\frac{179}{31250000}\right)}}{2}$$

Multiply -4 times -\frac{179}{31250000}.

$$v=\frac{0±\sqrt{\frac{179}{7812500}}}{2}$$

Take the square root of \frac{179}{7812500}.

$$v=\frac{0±\frac{\sqrt{895}}{6250}}{2}$$

Now solve the equation v=\frac{0±\frac{\sqrt{895}}{6250}}{2} when ± is plus.

$$v=\frac{\sqrt{895}}{12500}$$

Now solve the equation v=\frac{0±\frac{\sqrt{895}}{6250}}{2} when ± is minus.

$$v=-\frac{\sqrt{895}}{12500}$$

The equation is now solved.

$$v=\frac{\sqrt{895}}{12500} v=-\frac{\sqrt{895}}{12500}$$