2.4=0t+0.5*30*t^2

Solution for 2.4=0t+0.5*30*t^2 equation:

Simplifying
2.4 = 0t + 0.5 * 30t2

Anything times zero is zero.
2.4 = 0t + 0.5 * 30t2

Multiply 0.5 * 30
2.4 = 0 + 15t2
Remove the zero:
2.4 = 15t2

Solving
2.4 = 15t2

Solving for variable 't'.

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

Add '-15t2' to each side of the equation.
2.4 + -15t2 = 15t2 + -15t2

Combine like terms: 15t2 + -15t2 = 0
2.4 + -15t2 = 0

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -15t2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -15t2 = 0 + -2.4
-15t2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-15t2 = -2.4

Divide each side by '-15'.
t2 = 0.16

Simplifying
t2 = 0.16

Take the square root of each side:
t = {-0.4, 0.4}