Final answer:
The final speed of the tennis ball is approximately 20.69 m/s.
Step-by-step explanation:
The final speed of the tennis ball can be calculated using Newton's second law of motion, which states that force equals mass times acceleration. In this case, the force exerted on the ball is 12 Newtons and the mass of the ball is 0.058 kg. Since the ball starts from rest, its initial velocity is 0 m/s. Using the equation:
Force = mass × acceleration
We can rearrange the equation to solve for acceleration:
Acceleration = Force / mass
Substituting the given values:
Acceleration = 12 N / 0.058 kg
Therefore, the acceleration of the ball is approximately 206.9 m/s^2.
To find the final velocity, we can use the equation:
Final velocity = Initial velocity + (acceleration × time)
Since the initial velocity is 0 m/s, we can simplify the equation to:
Final velocity = acceleration × time
Substituting the values:
Final velocity = 206.9 m/s^2 × 0.1 s
Therefore, the final speed of the tennis ball is approximately 20.69 m/s.