1.5=0.5*9.81*t^2

Solution for 1.5=0.5*9.81*t^2 equation:

Simplifying
1.5 = 0.5 * 9.81t2

Multiply 0.5 * 9.81
1.5 = 4.905t2

Solving
1.5 = 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.
1.5 + -4.905t2 = 4.905t2 + -4.905t2

Combine like terms: 4.905t2 + -4.905t2 = 0.000
1.5 + -4.905t2 = 0.000

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -4.905t2 = 0.000 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -4.905t2 = 0.000 + -1.5
-4.905t2 = 0.000 + -1.5

Combine like terms: 0.000 + -1.5 = -1.5
-4.905t2 = -1.5

Divide each side by '-4.905'.
t2 = 0.3058103976

Simplifying
t2 = 0.3058103976

Take the square root of each side:
t = {-0.553001264, 0.553001264}