Final answer:
The acceleration of a soccer ball during a penalty kick, going from 0 to 32 m/s in 0.5 seconds, is 64 m/s².
Step-by-step explanation:
The acceleration of the soccer ball during a penalty kick can be calculated using the formula for acceleration (a), which is defined as the change in velocity (Δv) divided by the time (Δt) it takes for that change to occur. The velocity of the soccer ball changed from 0 m/s to 32 m/s over a period of 0.5 seconds. Therefore, the average acceleration can be calculated using the formula:
a = Δv / Δt
Plugging in the known values:
a = (32 m/s - 0 m/s) / 0.5 s = 64 m/s²
So, the acceleration of the soccer ball is 64 meters per second squared (m/s²).