Final answer:
The swimmer's acceleration when pushing off the pool wall with a force of 421 N is approximately 0.7943 m/s², calculated using Newton's second law of motion.
Step-by-step explanation:
To calculate the acceleration of the 530-kg swimmer who pushes off the pool wall with a force of 421 N, we use Newton's second law of motion, which states that the force applied on an object equals the mass of the object times its acceleration (F = ma). We need to solve for acceleration, so the equation can be rearranged to a = F/m.
Plugging in the values we have:
a = 421 N / 530 kg = 0.7943 m/s²
Therefore, the swimmer's acceleration is approximately 0.7943 m/s².