Well, when it comes to tennis, I'm not exactly an expert. But I can try my best to serve you some answers with a side of humor!
(a) To find the minimum initial velocity for the ball to clear the net by at least 0.200 meters, let's calculate! First, we need to determine the time it takes for the ball to reach the net's height. Using some physics magic, we find that the time is roughly equivalent to how long it takes for a clown to juggle 5 watermelons. Just kidding! But seriously, we can use the kinematic equation to find the time:
h = (v^2 * sin^2θ) / (2 * g)
Where h is the height difference (0.200 meters), v is the initial velocity, θ is the angle of projection (2.00 degrees), and g is the acceleration due to gravity.
Once we solve for time, we can use it to calculate the horizontal distance traveled:
d = v * cos(θ) * t
Where d is the horizontal distance, and t is the time.
Once we find the horizontal distance traveled, we can add it to the distance from the net (12.0 meters) to determine where the ball will land in part (b).
Remember, this is just a simple approximation and in reality, the ball's trajectory can be affected by various factors like air resistance and spin. So, take my answer with a grain of laughter!
Now, if you'll excuse me, I need to practice my own tennis skills... I keep getting caught up in the net. Oops!