Runner and a bird heading towards finish line

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Homework Help Overview

The discussion revolves around a problem involving a runner and a bird, where the runner jogs at a steady velocity while the bird flies back and forth to the finish line. The initial conditions specify the distances and velocities of both the runner and the bird, prompting participants to calculate the total distance the bird travels during the scenario.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants explore the time it takes for the bird to reach the finish line and how to account for the runner's movement during this time. There are discussions about calculating distances based on relative speeds and the implications of the bird's faster velocity. Some participants question the need for repeated calculations as the bird continues to fly back and forth.

Discussion Status

There is ongoing exploration of the problem, with participants attempting to clarify their understanding of the distances involved and the time taken for each segment of the bird's flight. Some have proposed methods for calculating the total distance traveled by the bird, while others are still seeking guidance on how to approach the second part of the problem.

Contextual Notes

Participants are working under the constraints of the problem's setup, including the assumption that the bird's length is negligible and the runner's steady pace. There is also a mention of the need to convert units for consistency in calculations.

  • #31
so i then get

.0177935943D=.0146627566D + .0019208211

i then get .0031308377D = .0019208211

D = .6135166636 km

that is the D then i solve for t of the equation

t = .6135166636/68.2

t = .008 hours? that doesn't seem right to me
 
Last edited:
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  • #32
anglum said:
since the cars travel at km/s and the distance between them is 131 m... doesn't that have to be .131 km in the equation to get a true correct answer?

yeah, that's right sorry.
 
  • #33
anglum said:
so i then get

.0177935943D=.0146627566D + .0019208211

i then get .0031308377D = .0019208211

D = .6135166636 km

that is the D then i solve for t of the equation

t = .6135166636/68.2

t = .008 hours? that doesn't seem right to me
i then take .008 hours and convert to minutes which is .5397507304 mins then convert again to seconds by multiplying by 60 which gives me a time in seconds of 32.385

? is that the answer that you got for this problem? because i get that as being wrong when entered on the classroom online

this was the original info

how long does it take car traveling 68.2km/h to become even with a car that is traveling in another lane at 56.2km/h if the front bumpers are initially .131 km apart
 
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  • #34
something in my calculations must be wrong or else the methods i used to solve were not correct
 
  • #35
learning have u done this problem and gotten an answer in seconds for the time it would take for them to be even and directly next to each other
 
  • #36
anglum said:
so i then get

.0177935943D=.0146627566D + .0019208211

i then get .0031308377D = .0019208211

D = .6135166636 km

that is the D then i solve for t of the equation

t = .6135166636/68.2

You should divide by 56.2 right? your d looks right...
 
  • #37
why divide by 56.2?

im tryin to see how long it takes for the car goin 68.2km/h to catch up?
 
  • #38
anglum said:
how long does it take car traveling 68.2km/h to become even with a car that is traveling in another lane at 56.2km/h if the front bumpers are initially 131 m apart


i have tried this so far

do i need to convert the 131 m to . 131 km??

d = 56.2km/h * t

and

d +131 = 68.2 km/h * t

Since you're solving for time sub. d from the first equation into the second...

56.2t + 0.131 = 68.2t

solve for t.
 
  • #39
anglum said:
why divide by 56.2?

im tryin to see how long it takes for the car goin 68.2km/h to catch up?

The times are equal... you can also do (d+0.131)/68.2 it's the same time...
 
  • #40
ahhh that makes total sense and now i got the correct answer as 39.3seconds

thanks learning

i am going to post a new thread on one last question if u don't mind
 

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