5500=.5*32.2t^2

Solution for 5500=.5*32.2t^2 equation:

Simplifying
5500 = 0.5 * 32.2t2

Multiply 0.5 * 32.2
5500 = 16.1t2

Solving
5500 = 16.1t2

Solving for variable 't'.

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

Add '-16.1t2' to each side of the equation.
5500 + -16.1t2 = 16.1t2 + -16.1t2

Combine like terms: 16.1t2 + -16.1t2 = 0.0
5500 + -16.1t2 = 0.0

Add '-5500' to each side of the equation.
5500 + -5500 + -16.1t2 = 0.0 + -5500

Combine like terms: 5500 + -5500 = 0
0 + -16.1t2 = 0.0 + -5500
-16.1t2 = 0.0 + -5500

Combine like terms: 0.0 + -5500 = -5500
-16.1t2 = -5500

Divide each side by '-16.1'.
t2 = 341.6149068

Simplifying
t2 = 341.6149068

Take the square root of each side:
t = {-18.482827349, 18.482827349}