Acceleration plus velocity question? ?

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SUMMARY

Kirk and Andrew are positioned 29.0 meters apart in a hallway, with Andrew accelerating towards Kirk at a constant rate of 0.18 m/s² from rest, while Kirk walks towards Andrew at a constant velocity of 3.0 m/s. The equations of motion for both individuals were established, with Kirk's distance represented as delta d = Vavg * time and Andrew's as d = v1 * delta T + 1/2 * (acc) * (time²). The solution involves equating their distance formulas to determine the time at which they meet, leading to the conclusion that Andrew's distance can be expressed as 29 - 1/2 * at².

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bobsagget
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Kirk and andrew are at opposite ends of a hallway stretching 29.0 m. Andrew accelerates from REST towards kirk at a constant rate of 0.18m/s^2. K irk walks towards andrew at a constant veloctiy of 3.0m/s. HOw much time elaspes before kirk and andrew high five".

kirk
v1= 3.0 m/s
acc= 0 m/s^2
distance (K)=?
time passed =?

andrew
v1= 0 m/s
time passed =?
acc= 0.18 m/s^2
distance= 29m -d(k)

i then got an equation for kirk which was delta d= Vavg/ time

and andrews was d=v1(delta)T+1/2(acc)(time^2)
^ ^ ^
cancels because v1=0

then i subbed d=29m-d(K) and got

29-D(of kirk) = 1/2(acc)(time^2)

i don't know what to do after? any help? or if I am doing it right at all please help!
 
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bobsagget said:
Kirk and andrew are at opposite ends of a hallway stretching 29.0 m. Andrew accelerates from REST towards kirk at a constant rate of 0.18m/s^2. K irk walks towards andrew at a constant veloctiy of 3.0m/s. HOw much time elaspes before kirk and andrew high five".

kirk
v1= 3.0 m/s
acc= 0 m/s^2
distance (K)=?
time passed =?

andrew
v1= 0 m/s
time passed =?
acc= 0.18 m/s^2
distance= 29m -d(k)

i then got an equation for kirk which was delta d= Vavg/ time

and andrews was d=v1(delta)T+1/2(acc)(time^2)
^ ^ ^
cancels because v1=0

then i subbed d=29m-d(K) and got

29-D(of kirk) = 1/2(acc)(time^2)

i don't know what to do after? any help? or if I am doing it right at all please help!

Good set up. You have the right distance formulas for both. Solve andrew's distance formula in terms of D then set both distance formulas equal to each other and you should find a time t that they intersect or meet up.

(You will find that Andrew's distance = 29 - 1/2at^2)
 
oooo ok thanks, now i understand the rest :smile:
 

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