Final answer:
To determine Emily's final acceleration, subtract the frictional force from the pushing force. Then, use Newton's second law to calculate the acceleration.
Step-by-step explanation:
To determine Emily's final acceleration, we need to calculate the net force acting on her sled. The net force is the difference between the pushing force and the frictional force. In this case, the pushing force is 10N, and the frictional force is 1N, so the net force is 10N - 1N = 9N.
Using Newton's second law, F = ma, where F is the net force, m is the mass, and a is the acceleration, we can rearrange the formula to solve for a: a = F/m. Plugging in the values, we get a = 9N / 30kg = 0.3 m/s².
Therefore, Emily's final acceleration is 0.3 m/s².