> > the rebound speed would be the same as the inbound speed no matter
> > how long the collision took.
>
> Even if someone is swinging the racket (which is highly likely)?

I was thinking of the case of an incompetent player (such as myself)  
who is just going to
hold the racket up to the ball. Of course if you swing, it you will  
impart some kinetic energy to the ball and it will come off faster.  
But the dynamics of the collision are still mostly determined by the  
squishiness of the ball and the stretchiness of the racket stringing.  
To the extent that they are both elastic (don't turn some of the  
energy into heat by internal friction) it doesn't affect the return  
speed of the ball.

> or is there really some
> substance we're likely to find on a tennis racket that will keep
> contact with the ball longer yet send it back faster?  After all,
> we're discussing the difference between nylon and gut here.

No substance involved. Noting is "sticking" the ball to the racket -  
the ball and strings act like springs: they take time to stretch out  
and then return to the original shape.  The stretchier and squishier,  
the longer this takes. A stretchier stringing (weaker spring  
constant) will take longer to slow the ball down and accelerate it  
back in the other direction but it won't affect the return speed.  
(Again, assuming it is mostly elastic which means it eventually  
returns the energy to the ball.)

Try imagining a racket strung with ordinary rubber bands - it might  
give you a mental picture of what is going on.

...Bob



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