Final answer:
The question appears to involve either an arithmetic progression or a quadratic equation. For the quadratic equation 4.90t² - 14.3t - 20.0 = 0, the solutions can be found using the quadratic formula, which yields two possible values for t. If terms of an AP were required, more information would be necessary.
Step-by-step explanation:
The question seems to be a bit unclear, but it looks like you are asking for help understanding an arithmetic progression (AP) or solving a quadratic equation. Given the multiple sets of constants provided for different quadratic equations, I will solve one of them using the quadratic formula. Let's use the set where a = 4.90, b = -14.3, and c = -20.0, which forms the equation 4.90t² - 14.3t - 20.0 = 0. The quadratic formula to find the solutions of this equation is:
t = -b ± √(b² - 4ac) / (2a)
Substituting the given values in, we get:
t = 14.3 ± √((-14.3)² - 4(4.90)(-20.0)) / (2*4.90)
By calculating the discriminant and solving for t, we find the two possible values of t that solve the quadratic equation. If you were looking for terms of an arithmetic progression (AP), additional information such as the common difference and the first term need to be provided.