50=0.5*9.81*t^2

Solution for 50=0.5*9.81*t^2 equation:

Simplifying
50 = 0.5 * 9.81t2

Multiply 0.5 * 9.81
50 = 4.905t2

Solving
50 = 4.905t2

Solving for variable 't'.

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

Add '-4.905t2' to each side of the equation.
50 + -4.905t2 = 4.905t2 + -4.905t2

Combine like terms: 4.905t2 + -4.905t2 = 0.000
50 + -4.905t2 = 0.000

Add '-50' to each side of the equation.
50 + -50 + -4.905t2 = 0.000 + -50

Combine like terms: 50 + -50 = 0
0 + -4.905t2 = 0.000 + -50
-4.905t2 = 0.000 + -50

Combine like terms: 0.000 + -50 = -50
-4.905t2 = -50

Divide each side by '-4.905'.
t2 = 10.19367992

Simplifying
t2 = 10.19367992

Take the square root of each side:
t = {-3.192754284, 3.192754284}