Final answer:
Samantha's acceleration can be calculated using Newton's second law of motion by dividing the net force acting on her by her total mass. The correct answer is b. 4 m/s².
Step-by-step explanation:
To calculate Samantha's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, Samantha's mass is 60 kg and the net force on her is 300 N. The mass of the go-cart is 15 kg.
We can calculate Samantha's acceleration using the formula:
acceleration = net force / mass
Plugging in the values, we get:
acceleration = 300 N / (60 kg + 15 kg)
acceleration = 300 N / 75 kg
acceleration = 4 m/s²
Therefore, Samantha's acceleration is 4 m/s², so the correct answer is b. 4 m/s².