7.6=0.5*9.81*t^2

Solution for 7.6=0.5*9.81*t^2 equation:

Simplifying
7.6 = 0.5 * 9.81t2

Multiply 0.5 * 9.81
7.6 = 4.905t2

Solving
7.6 = 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.
7.6 + -4.905t2 = 4.905t2 + -4.905t2

Combine like terms: 4.905t2 + -4.905t2 = 0.000
7.6 + -4.905t2 = 0.000

Add '-7.6' to each side of the equation.
7.6 + -7.6 + -4.905t2 = 0.000 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + -4.905t2 = 0.000 + -7.6
-4.905t2 = 0.000 + -7.6

Combine like terms: 0.000 + -7.6 = -7.6
-4.905t2 = -7.6

Divide each side by '-4.905'.
t2 = 1.549439348

Simplifying
t2 = 1.549439348

Take the square root of each side:
t = {-1.244764776, 1.244764776}