.0242=.5(9.8)t^2

Solution for .0242=.5(9.8)t^2 equation:

Simplifying
0.0242 = 0.5(9.8) * t2

Multiply 0.5 * 9.8
0.0242 = 4.9t2

Solving
0.0242 = 4.9t2

Solving for variable 't'.

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

Add '-4.9t2' to each side of the equation.
0.0242 + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
0.0242 + -4.9t2 = 0.0

Add '-0.0242' to each side of the equation.
0.0242 + -0.0242 + -4.9t2 = 0.0 + -0.0242

Combine like terms: 0.0242 + -0.0242 = 0.0000
0.0000 + -4.9t2 = 0.0 + -0.0242
-4.9t2 = 0.0 + -0.0242

Combine like terms: 0.0 + -0.0242 = -0.0242
-4.9t2 = -0.0242

Divide each side by '-4.9'.
t2 = 0.00493877551

Simplifying
t2 = 0.00493877551

Take the square root of each side:
t = {-0.070276422, 0.070276422}