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When serving in tennis, a player tosses the tennis ball vertically in the air; the height h of the ball after t seconds.

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Final answer:

The student's questions involve physics concepts related to projectile motion, such as velocity, gravity, and force, applied in a tennis context.

Step-by-step explanation:

The question pertains to projectile motion in physics, specifically within a tennis context. When serving a tennis ball, the player creates a projectile motion scenario where the ball is both subject to gravity and acts as a projectile that follows a parabolic path. The problems mentioned deal with the physics concepts of initial velocity, acceleration due to gravity, force, mass, time, and launch angle.

For example, when serving at a speed of 170 km/h with an aim to cross the net which is 0.91 m high and land in the service box, one must calculate the necessary launch angle. This involves using principles such as the equations of motion for projectiles.

Similarly, if a force of 540 N is applied to the tennis ball for 5.00 ms, one can determine the mass of the tennis ball using the Impulse-Momentum Theorem, which links the impulse applied to a body to the resultant change in momentum, and hence, the final velocity of the tennis ball after being hit.

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