Acceleration plus velocity question? ?

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Kirk and Andrew are positioned 29.0 m apart in a hallway, with Kirk walking towards Andrew at a constant velocity of 3.0 m/s and Andrew accelerating from rest at 0.18 m/s². The equations for their distances can be set up, with Kirk's distance represented as d(K) and Andrew's as 29 - d(K). To find the time until they meet, Andrew's distance formula can be rearranged to express it in terms of d(K), leading to the equation 29 - d(K) = 1/2 * a * t². Solving these equations will yield the time at which they high five.
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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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