How much distance did the fly cover?

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SUMMARY

The discussion revolves around a physics problem involving two cars on a collision course and a fly traveling between them. The key equations derived include the time until collision, t = d / (v1 + v2), and the distance the fly travels, Df = v3 * t, where v3 is the fly's velocity. The participants clarify that the fly's distance can be expressed in terms of the cars' velocities and the initial distance, leading to the formula Df = v3 * d / (v1 + v2). Additionally, the problem is noted for its complexity, often leading to confusion and the need for infinite series to solve it.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity, distance, and time.
  • Familiarity with algebraic manipulation of equations.
  • Knowledge of kinematic equations, particularly d = vt.
  • Basic understanding of infinite series in mathematics.
NEXT STEPS
  • Study the derivation of kinematic equations in physics.
  • Learn about infinite series and their applications in solving complex problems.
  • Explore examples of relative motion problems in physics.
  • Practice algebraic manipulation of equations to solve for unknown variables.
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This discussion is beneficial for physics students, educators, and anyone interested in solving motion-related problems, particularly those involving relative velocities and collision scenarios.

  • #31
For the distance the fly flies, shouldn't you use the fly's velocity, v3?
 
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  • #32
so v3=t*v1+v2
 
  • #33
Back to basics. d=vt
 
  • #34
d=vt
d=v3*d/(v1+v2)
 
Last edited:
  • #35
Delta31415 said:
d=vt
v3=d/(v1+v2)
Sorry, getting crossed messages.

Do you see that d, fly = v3*t?
 
  • #36
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
 
Last edited:
  • #37
Delta31415 said:
v3*d/(v1+v2)
equals
v3*d=v1+v2
right?
But we already know that t=d/(v1+v2).

We have the time the fly flies = t.
We have the velocity of the fly = v3.
We know d,fly = v3*t.

So what is d,fly in terms of the given variables: d, v1,v2, and v3?
 
  • #38
i edited my meassge
so reposting it
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
 
  • #39
Delta31415 said:
yes i understand that d of fly= v3*t
Df=v3*d/(v1+v2)
equals
v1+v2*Df=v3*d
right?
Other than parentheses around the second v1+v2, my work here is done.

Please know that this puzzle has stumped many people (usually trying to solve it with an infinite series).
 
  • #40
thank you for your help
 
  • #41
Now i have a new problem, my teacher wants me to solve this using with infinite series? So how do infinite series work?
 

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