Final answer:
The acceleration of the ant is found using the formula for acceleration and substituting the given values for initial speed, final speed, and time, resulting in an acceleration of 2 cm/s².
Step-by-step explanation:
To calculate the acceleration of the ant, we use the formula a = (v_f - v_i) / t, where a is acceleration, v_f is the final velocity, v_i is the initial velocity, and t is time. In this problem, the ant speeds up from an initial speed of 0.5 cm/s to a final speed of 1.5 cm/s in 0.5 seconds. Plugging these numbers into the formula gives us the following:
a = (1.5 cm/s - 0.5 cm/s) / 0.5 s = 1.0 cm/s / 0.5 s = 2 cm/s²
Therefore, the correct answer is A. 2 cm/s².