Final answer:
The student's question relates to the height of a batted baseball as a function of time, a topic within the field of Physics. Using a quadratic equation, one can find out when the baseball reaches certain heights, such as when it would be at 10 meters height.
Step-by-step explanation:
The question pertains to the trajectory of a batted baseball and its description using mathematical functions in a Physics context. When the equation h = -2.1(t-2.4)2+ 13 models the height of the baseball as a function of time, we can determine at what times the baseball reaches certain heights. For example, to find out when the baseball is at a height of 10 meters, you would set the equation to h = 10 and solve for t, which involves applying the quadratic formula.
Given in the reference material that the quadratic formula yields the solutions t = 3.79 s and t = 0.54 s, we take the longer solution (t = 3.79 s) as the time it takes for the baseball to reach a spectator or a specific altitude on its downward path. The reference material also suggests analyzing the ball's horizontal velocity; however, this part of the question is straightforward, as the horizontal velocity remains constant until a certain time point (t = 0.7 sec).
Additional information from the reference may include data points, for example, the vertical velocity of the baseball over time, which can be graphed and analyzed for its initial conditions, acceleration due to gravity, and the consequent impact on velocity over time.