Final answer:
To determine the serve angle in tennis, principles of projectile motion are applied, calculating both the horizontal and vertical components to ensure the ball crosses the net and lands in the service box.
Step-by-step explanation:
The student asks about the angle of serve in a tennis match, which can be calculated using the principles of projectile motion, part of physics. Given the serve speed, height at which the ball is hit, and the distances from the base line to the net and service line, we can determine the angle at which the tennis player must serve the ball for it to just cross the net and also whether it will land within the service box.
To find the angle of serve, we can set up equations for the horizontal and vertical components of the ball's motion, where the ball must cross the net height at a distance of 11.9 meters from the player. We then use the kinematic equations to solve for the angle. Knowing if the ball will land within the service box involves calculating the ball's trajectory and seeing if it falls within the service box boundaries, which in this case, is 6.40 m from the net.