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Simplifying
381 = 0t + 0.5(9.8)(t2)
Anything times zero is zero.
381 = 0t + 0.5(9.8)(t2)
Multiply 0.5 * 9.8
381 = 0 + 4.9t2
Remove the zero:
381 = 4.9t2
Solving
381 = 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.
381 + -4.9t2 = 4.9t2 + -4.9t2
Combine like terms: 4.9t2 + -4.9t2 = 0.0
381 + -4.9t2 = 0.0
Add '-381' to each side of the equation.
381 + -381 + -4.9t2 = 0.0 + -381
Combine like terms: 381 + -381 = 0
0 + -4.9t2 = 0.0 + -381
-4.9t2 = 0.0 + -381
Combine like terms: 0.0 + -381 = -381
-4.9t2 = -381
Divide each side by '-4.9'.
t2 = 77.75510204
Simplifying
t2 = 77.75510204
Take the square root of each side:
t = {-8.81788535, 8.81788535}
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