Answer :
Final answer:
The value of T that satisfies the equation is t = 3.96 s, based on the quadratic equation solutions provided, as negative time values are not physically meaningful in this context. So the correct option should be t = 3.96, which is not listed.
Explanation:
The equation T(t) = -0.1t² + 1.2t + 98.2 is a quadratic equation, which generally takes the form at² + bt + c = 0, where 'a,' 'b,' and 'c' are constants. To find the value of 't' that satisfies this equation, we can use the quadratic formula or other methods of factoring.
The provided solutions for a similar quadratic equation suggest that after solving, t = 3.96 and another negative value which is not physically meaningful in this context as the time before the start of motion can be discarded. Since the original equation resembles a physical model where 't' represents time, a negative value for 't' isn't reasonable, as it implies an event happening before the starting point of observation (t=0).
It is possible that this might be an oversight, as none of the options match the derived solution. However, according to the solutions from the context, the value that satisfies the equation is t = 3.96 s, so the correct option should be t = 3.96.
