Final answer:
The student's question involves solving a quadratic equation using the quadratic formula with the provided coefficients. The values given are substituted into the formula to obtain the roots of the equation.
Step-by-step explanation:
The question relates to solving a quadratic equation using the quadratic formula. The quadratic equation at hand is of the standard form at² + bt + c = 0, where a, b, and c are numerical coefficients. Given the values a = 4.90, b = 14.3, and c = -20.0, we can apply the quadratic formula to find the roots of the equation:
Solution:
Substituting the given values into the quadratic formula, we obtain:
t = −b ± √(b² - 4ac)
2a
Plugging in the numbers we have:
t = −13.3 ± √(14.3)² - 4 × 4.90 × (−20.0)
2 × 4.90
Simplifying further provides us with the two solutions for t, which are the times at which the quadratic equation equals zero.