To find the final velocity of the gazelle after 2.00 seconds, we first need to calculate the acceleration using Newton's second law, which states that Force (F) equals mass (m) times acceleration (a). We rearrange this to find acceleration: a = F/m. Substituting the values, we get a = 113 N / 25.2 kg, which gives us an acceleration of approximately 4.48 m/s². Next, we use the equation of motion for final velocity: final velocity = initial velocity + (acceleration * time). Substituting the initial velocity (2.33 m/s), acceleration (4.48 m/s²), and time (2.00 s), we calculate the final velocity as 2.33 m/s + (4.48 m/s² * 2.00 s) = 4.33 m/s. Therefore, the gazelle will be moving at a speed of 4.33 m/s after 2 seconds.