Perfect Serve Lab Report
Introduction The thrill and anticipation of going up to serve in the tennis match of your life is starting to weigh down on you. Everybody knows that this opening serve is going to make or break the match, so you can’t mess this up. There are so many things to think about and consider, where do you want to hit the tennis ball, what about the force you put into the racket, which type of serve is best, the list goes on and on! What if there was a single equation that is able to determine the “Perfect Serve”? I have been a fan of tennis from when I was younger and watched it on the television to when I played it myself. In all that time I have wanted to find out about that make or break point and how to achieve that “Perfect Serve”, and now I
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: is the angle of elevation of the ball's path (from horizontal) as it initially leaves the racket as previously determined it equals 2.18.
A: (which also appears in the previous equation) is the drag coefficient 0.5.
B: is the lift coefficient
C: is the torque coefficient
: is the distance between the server and it target on the tennis court.
The top spin constraint balances the extra downward force from the top spin. Through the speed and angle of elevation make sure the serve hits the intended target: add top spin (increase ) and you have to hit ball faster (increase ) or aim higher (increase the angle of elevation ).
Top Spin Net Constraint
In fact, if there is too much top spin on the ball then you are much more likely to hit the net. To ensure you don't score a net fault a constraint has been calculated.
In order to clear the net your serve must satisfy:
The constants and are all of the same form as the constants in the above equations, but have values depending on the distance to, and height of, the net at the point the ball crosses.
The combination of slice spin and top spin makes the ball's path and bounce far harder to predict for your opponent. Varying these with each serve could be the winning formula, as long as these three important constraints are satisfied and
: is the angle of elevation of the ball's path (from horizontal) as it initially leaves the racket as previously determined it equals 2.18.
A: (which also appears in the previous equation) is the drag coefficient 0.5.
B: is the lift coefficient
C: is the torque coefficient
: is the distance between the server and it target on the tennis court.
The top spin constraint balances the extra downward force from the top spin. Through the speed and angle of elevation make sure the serve hits the intended target: add top spin (increase ) and you have to hit ball faster (increase ) or aim higher (increase the angle of elevation ).
Top Spin Net Constraint
In fact, if there is too much top spin on the ball then you are much more likely to hit the net. To ensure you don't score a net fault a constraint has been calculated.
In order to clear the net your serve must satisfy:
The constants and are all of the same form as the constants in the above equations, but have values depending on the distance to, and height of, the net at the point the ball crosses.
The combination of slice spin and top spin makes the ball's path and bounce far harder to predict for your opponent. Varying these with each serve could be the winning formula, as long as these three important constraints are satisfied and