Kinematics: Velocity and Distance of a Tennis Ball

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SUMMARY

The discussion centers on a physics problem involving a tennis ball with an initial velocity of 30 m/s and an average acceleration of 5000 m/s² applied for 0.02 seconds in the opposite direction. The key equations used include v = u + at for final velocity and s = ut + (1/2)at² for displacement. Participants emphasize the ambiguity in the question regarding whether "how far does the ball travel" refers to displacement or total distance. A suggestion is made to calculate both values and note the ambiguity for grading purposes.

PREREQUISITES
  • Understanding of kinematics equations, specifically v = u + at and s = ut + (1/2)at²
  • Basic knowledge of velocity, acceleration, and displacement concepts
  • Familiarity with impulse-momentum theory
  • Ability to interpret and analyze physics problems
NEXT STEPS
  • Study the implications of acceleration direction on final velocity calculations
  • Research the differences between displacement and total distance in kinematics
  • Practice solving similar kinematics problems involving initial velocity and acceleration
  • Learn about impulse-momentum theory and its applications in physics
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of problem-solving strategies in motion analysis.

Fedor
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Homework Statement



A ball approaches a tennis racquet with a velocity of [tex]30ms^-^1[/tex]. The racquet gives it an average acceleration of [tex]5000ms^-^2[/tex] for [tex]0.02s[/tex] in the opposite direction to it's initial velocity. What is the velocity of the ball after leaving the racquet and how far does the ball travel while undergoing this acceleration?

Homework Equations



Where: s=displacement, u=initial velocity, v=final velocity, a=acceleration, t=time

[tex] v=u + at[/tex]

[tex] s=(1/2)(u+v)t[/tex]

[tex] v^2=u^2+2as[/tex]

[tex] s=ut+(1/2)at^2[/tex]

The Attempt at a Solution



What confuses me about this question is the wording used. So forgive me if it confuses you too but I've written the question the same as it was wrote. I don't want to say specifically what part of the question is confusing as I think it'd be best for you to interpret the question and answer without me influencing you.

So can somebody answer this 2 part question? I'd be happy to show how I think it's worked out but as I said earlier, I think the question can be interpreted in a number of ways so I'll wait for an answer before I give my interpretation.

Thanks a lot, I really appreciate all the feedback.
 
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From the way i see it i will solve this using impluse-momentum theory what's your approach? :biggrin:
 
Fedor said:
What confuses me about this question is the wording used. So forgive me if it confuses you too but I've written the question the same as it was wrote. I don't want to say specifically what part of the question is confusing as I think it'd be best for you to interpret the question and answer without me influencing you.

So can somebody answer this 2 part question? I'd be happy to show how I think it's worked out but as I said earlier, I think the question can be interpreted in a number of ways so I'll wait for an answer before I give my interpretation.

Thanks a lot, I really appreciate all the feedback.

Welcome to PF Fedor.

Hey, just FYI, we require students to show their attempt at solving a homework problem before giving help with the solution.

That being said, I'm guessing the confusion has to do with the question, "how far does the ball travel"? Do they simply mean the ball's displacement, or do they mean the total distance covered ... which would be different if the ball happens to reverse direction.

If this is a problem to be handed in, you might just work out both answers, and include a note to the grader that you found the wording of the question ambiguous.
 

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