.55=.5*.0564*v^2

Solution for .55=.5*.0564*v^2 equation:

Simplifying
0.55 = 0.5 * 0.0564v2

Multiply 0.5 * 0.0564
0.55 = 0.0282v2

Solving
0.55 = 0.0282v2

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-0.0282v2' to each side of the equation.
0.55 + -0.0282v2 = 0.0282v2 + -0.0282v2

Combine like terms: 0.0282v2 + -0.0282v2 = 0.0000
0.55 + -0.0282v2 = 0.0000

Add '-0.55' to each side of the equation.
0.55 + -0.55 + -0.0282v2 = 0.0000 + -0.55

Combine like terms: 0.55 + -0.55 = 0.00
0.00 + -0.0282v2 = 0.0000 + -0.55
-0.0282v2 = 0.0000 + -0.55

Combine like terms: 0.0000 + -0.55 = -0.55
-0.0282v2 = -0.55

Divide each side by '-0.0282'.
v2 = 19.5035461

Simplifying
v2 = 19.5035461

Take the square root of each side:
v = {-4.416281932, 4.416281932}