Average Velocity of a Runner in 1500m Race

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Homework Help Overview

The discussion revolves around calculating the average velocity of a runner based on their lap times over a 1500 meter race, with specific lap times provided for 400 meter segments. Participants express confusion regarding the wording of the question and the implications of the lap times in relation to the total distance.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants question whether to average the lap times and how to apply the formula for average velocity. There is uncertainty about the displacement due to the nature of the race and the track length. Some suggest that the question may be poorly worded or contain a typo regarding the race distance.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have offered guidance on the definitions of average velocity versus average speed, while others are questioning the feasibility of the scenario presented in the question.

Contextual Notes

There is a noted ambiguity regarding the total distance of the race in relation to the lap times provided, leading to confusion about the correct application of the average velocity formula. Participants are considering the implications of running on a 400 meter track for a 1500 meter race.

bionut
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Homework Statement




What is the average velocity of a runner whose 400 meter lap times are 60, 75, 65 and 60 seconds over a 1500 meter race?


Homework Equations





The Attempt at a Solution



Is I use v=d/t (would the displacement be 0m beacuse he completed 1 lap?

Im a bit confused will I need to average out the 4 times? then divide by 1500m?
 
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bionut said:

Homework Statement




What is the average velocity of a runner whose 400 meter lap times are 60, 75, 65 and 60 seconds over a 1500 meter race?


Homework Equations





The Attempt at a Solution



Is I use v=d/t (would the displacement be 0m beacuse he completed 1 lap?

Im a bit confused will I need to average out the 4 times? then divide by 1500m?
This question is horrendously worded. If the runner completed four laps of a 400m track, then he would have traveled 1600m, not 1500m. I'm not sure if the last timing refers to the final 300m, or implied that the runner continued for an additional 100m after the race had finished. If it is the former, then the question can be answered (even though it is badly defined). If it is the latter, then the question cannot be answered.

Could you seek clarification from your teacher?
 
sorry, yes that is the questions I understood it as each 400m lap he psoted those times... therefore will I need to average out the 4 times and work out the average velocity over a 1500m race?? So confused...
 
bionut said:
sorry, yes that is the questions I understood it as each 400m lap he psoted those times... therefore will I need to average out the 4 times and work out the average velocity over a 1500m race?? So confused...
If those times are indeed the 400m lap-times, then the question cannot be answered, in my opinion.
 
I agree... but apprently the answer is 0m/s...
 
bionut said:
I agree... but apprently the answer is 0m/s...
Over a 1600m race, that could be the case. However, over a 1500m race on a 400m track, that cannot possibly be the case. There is no way that a runner can start and finish a 1500m race at the same point on a 400m track.
 
bionut said:
What is the average velocity …

Hey guys!

Read the question!

average velocity, not average speed! :rolleyes:
 
yes but avg velocity = change n dispalcement over chnage in time...

so his displacemnt = 0 ... but his chnage in time?
 
yes but avg velocity = change n dispalcement over chnage in time...

so his displacemnt = 0 ... but his chnage in time?
 
  • #10
tiny-tim said:
Hey guys!

Read the question!

average velocity, not average speed! :rolleyes:

Hi tt,

I did read the question. However, if the runner is running on a 400m track, there is no way he can start and finish a 1500m race at the same point in space.
 
  • #11
hi bionut! :smile:
bionut said:
yes but avg velocity = change n dispalcement over chnage in time...

so his displacemnt = 0 ... but his chnage in time?

if his change in https://www.physicsforums.com/library.php?do=view_item&itemid=378" is 0, then the change in time doesn't matter, does it? :wink:
Hootenanny said:
Hi tt,

I did read the question. However, if the runner is running on a 400m track, there is no way he can start and finish a 1500m race at the same point in space.

Hi Hoot! :smile:

Well, the answer is 0 m/s, so he must have done it somehow! :biggrin:
 
Last edited by a moderator:
  • #12
tiny-tim said:
Hi Hoot! :smile:

Well, the answer is 0 m/s, so he must have done it somehow! :biggrin:

Grrr... I hate idiot teachers who sent idiotic questions.
 
  • #13
bionut said:
What is the average velocity of a runner whose 400 meter lap times are 60, 75, 65 and 60 seconds over a 1500 meter race?
Could a typo be the culprit? Could that be a 1600 meter race? (How do you get four 400 m laps to add to 1500 m?)
 

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