How do I find missing terms in kinematic equations?

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Homework Help Overview

The discussion revolves around a kinematics problem involving an Olympic sprinter's acceleration from rest to a top speed of 11.5 m/s over a distance of 15 m. Participants are exploring how to find missing terms such as acceleration and time using kinematic equations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the known variables (initial velocity, final velocity, distance) and question which kinematic equations are appropriate for finding acceleration and time. Some express uncertainty about the meaning of variables and the formulas to use.

Discussion Status

The discussion is ongoing, with participants sharing their understanding of the problem and questioning the correct formulas. Some guidance has been offered regarding the use of standard kinematic equations, but there is no explicit consensus on the approach to take.

Contextual Notes

There is a lack of information regarding time, which is a point of confusion among participants. The original poster's question does not specify how to find time, leading to further inquiries about the relationship between distance, speed, and acceleration.

cneedshelp
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An Olympic sprinter can accelerate from rest out of the blocks to a top speed of about 11.5 m/s. This is accomplished in the first 15 m of a race. What is the average acceleration of the first sprinter?
Given- vi- 11.5 m/s
Distance-15m
Vf-?
t-?
Which formula do I use to find these missing terms?
 
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s is always distance :wink:
 
tiny-tim said:
s is always distance :wink:

Oh haha thank you. :)
Now how do you find the different times?
 
what times?? :confused:

(i don't see any times in the question :redface:)
 
tiny-tim said:
what times?? :confused:

(i don't see any times in the question :redface:)

You have to find acceleration, the formula is vf-vi over tf-ti right?
 
that formula certainly works if you know t

but you only know vi vf and s, and there is a formula using that information :wink:
 
tiny-tim said:
that formula certainly works if you know t

but you only know vi vf and s, and there is a formula using that information :wink:

d = vt + (1/2)at^2
is that the formula?
 
  • #10
cneedshelp said:
d = vt + (1/2)at^2
is that the formula?

no of course not :confused:
 
  • #11
tiny-tim said:
no of course not :confused:

Im not sure which formula to use...
 
  • #12
what's their _average_ speed during that 15m ?
so how long should it have taken them to go 15m, at that average speed?
 

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