Final answer:
A reasonable model to describe the sprinter's acceleration is approximately 2.4 m/s².
Step-by-step explanation:
The sprinter's initial speed is 0 m/s and the distance covered is 11 m. The time taken is 3.0 s. To find the model for the sprinter's acceleration, we can use the equation:
distance = initial velocity x time + (1/2) x acceleration x time^2
Using the given values, we have:
11 m = 0 x 3.0 s + (1/2) x acceleration x (3.0 s)^2
Simplifying the equation:
11 m = (1/2) x acceleration x 9.0 s^2
22 m = acceleration x 9.0 s^2
acceleration = 22 m / 9.0 s^2 ≈ 2.4 m/s²
Therefore, a reasonable model to describe the sprinter's acceleration is approximately 2.4 m/s² (Option D).