Constant acceleration in a straight line with variable distances

AI Thread Summary
The discussion revolves around calculating the acceleration and initial velocity of a particle moving with constant acceleration over two distances, OA and AB, both taking the same time of 3 seconds. The acceleration was determined to be 2 m/s², but participants struggled with finding the initial velocity at point O. The equation s = ut + 0.5at² was referenced, indicating that the initial velocity (u) is necessary for further calculations. Participants requested clarification on how to derive u from the given information. The conversation emphasizes the importance of understanding the relationship between distance, time, and acceleration in kinematic equations.
yonewt
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Homework Statement



A particle which moves with a constant acceleration in a straight line passes through the point O, A and B in that order. If the distances OA and AB are 17 m and 35 m respectively and the particle takes the same amount of time , 3 seconds to travel each distance then calculate

i)acceleration

ii) the time taken to travel 105 m from O



Homework Equations


s = ut + .5at^2


The Attempt at a Solution



i figured out the acceleration. the second part is giving me trouble
 
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What did you get for a? Did you also calculate u at O?
 
no i didnt get u. i got a to be 2ms^-2
 
Yes, that's right for a. If you now calculate u at O, can you see how to finish the question?
 
how do i go about calculating u at O? can u explain to me?
 
yonewt said:
how do i go about calculating u at O? can u explain to me?
Well, how did you calculate a? The equation you quoted has a u in it.
 
haruspex said:
Well, how did you calculate a? The equation you quoted has a u in it.
yeah i do but i don't know how to go about finding u at O can you explain to me how?
 
please post your working for how you calculated a.
 
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