HOW TO TIME THE FOREHAND PERFECTLY

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In today's session, we look at how to the pro players synchronize the drop of their racket with the arrival of the ball, and explain how you can use physics to reproduce this amazing timing.

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be expressed as:

F = m * a

Where:
F represents the net force acting on the object,
m is the mass of the object, and
a is the acceleration produced.

When it comes to the drop off the racket in the take back of a tennis forehand, let's break it down into two phases: the initial drop and the take back.

Initial Drop:
During the initial drop, the player allows the racket to fall freely due to the force of gravity acting on it. At this point, the net force acting on the racket is equal to its weight (mg), where m is the mass of the racket and g is the acceleration due to gravity. Therefore, we can write:

F = mg

The mass of the racket remains constant during this phase, and the acceleration is the acceleration due to gravity (approximately 9.8 m/s^2). So, the force acting on the racket is directly proportional to its mass.

Take Back:
During the take back of the tennis forehand, the player exerts a force on the racket to accelerate it in the opposite direction. This force is generated by the muscles and the transfer of energy from the player's body to the racket.

According to Newton's second law, the acceleration of the racket in the take back will depend on the net force applied and the mass of the racket. The net force is the difference between the force applied by the player and any opposing forces, such as air resistance and friction.

If we consider only the force applied by the player (ignoring opposing forces for simplicity), we can write:

F = ma

Where:
F is the net force applied by the player,
m is the mass of the racket, and
a is the acceleration produced during the take back.

The acceleration produced will depend on how forcefully the player accelerates the racket and how quickly they change the direction of the racket's motion.

Overall, Newton's second law explains the relationship between the net force, mass, and acceleration of the racket during the drop off and take back phases of a tennis forehand. It highlights that the greater the force applied by the player and the lower the mass of the racket, the greater the acceleration will be, resulting in a faster take back.
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