Calculating Acceleration from Tennis Serve Data

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    Acceleration F=ma
AI Thread Summary
The fastest tennis serve recorded was 73.14 m/s, with a tennis ball mass of 57.0 g and a contact time of 30 ms. To calculate acceleration, the formula a = (Vf - Vo) / t can be used, where Vf is the final velocity, Vo is the initial velocity (0), and t is the time in seconds. Converting 30 ms to seconds gives 0.03 seconds, leading to an average acceleration of approximately 2438 m/s². A common mistake noted was neglecting unit consistency in calculations, which can lead to incorrect results. Proper unit management is crucial for accurate physics problem-solving.
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Homework Statement



The fastest served tennis ball, served by "Big Bill" Tilden in 1931, was measured at 73.14 m/s. The mass of a tennis ball is 57.0 g, and the ball is typically in contact with the tennis racquet for 30.0 {\rm ms}, with the ball starting from rest.

Homework Equations



F=ma
p=mv (?)
don't understand how to find the acceleration

The Attempt at a Solution



f=57(a)

found the momentum in an attempt to relate it to acceleration, but I failed. Any ideas on how to find the acceleration?
 
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What's the definition of acceleration?
 
trynagetby said:

Homework Statement



The fastest served tennis ball, served by "Big Bill" Tilden in 1931, was measured at 73.14 m/s. The mass of a tennis ball is 57.0 g, and the ball is typically in contact with the tennis racquet for 30.0 {\rm ms}, with the ball starting from rest.

Homework Equations



F=ma
p=mv (?)
don't understand how to find the acceleration

The Attempt at a Solution



f=57(a)

found the momentum in an attempt to relate it to acceleration, but I failed. Any ideas on how to find the acceleration?
Hello trynagetby. Welcome to PF.

The ball goes from zero to 73.14 m/s in 30 milliseconds. What's the average acceleration ?
 
so it should be this

a=(Vf-Vo)/t

30 milliseconds = .03 seconds

73.14/.03 seconds

= 24380 ?

57(24380) = 1389660 but my online homework is telling me that's wrong
 
put your units in your calculations and you'll see the problem.
 
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