Kinematic -- If object in 5th and 6th sec passes 20

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The discussion revolves around calculating the acceleration of an object that starts from rest and moves with equal acceleration, covering a distance of 20 meters between the 5th and 6th seconds. The key equation used is s = ut + 0.5at², where the initial velocity (u) after 5 seconds is 5a. The participants clarify that the initial velocity cannot be considered zero at this point since the object has already been accelerating for 5 seconds. The correct approach involves using the distance covered during the specific time interval to derive the acceleration. Ultimately, the conversation emphasizes the importance of accurately applying kinematic equations based on the object's state at different time intervals.
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Homework Statement


Object from state of inaction starts to move with equal acceleration. If objec in 5th and 6th sec passes 20, what's acceleration.


Homework Equations


s=v0*t+a*t*t/2 v0=0


The Attempt at a Solution


s=a*t*t/2
a=s/2
a=10
 
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You can't use "v0=0" because at "v0" the object has already been accelerating for 5 seconds.
 
Does the object covered 20m distance between 5sec. and 6sec. of the journey?
During the start of journey
u=0.Let the acceleration be a then after 5 sec. the velocity of the object=5a(using v=u+at)
For the motion of object between 5sec. and 6sec.---
u=5a,S=20m(given),t=1sec.
Using S=ut+0.5at^2 Equation
20=5a+0.5a.Find the value of a to get the answer.
 
In case you want a quick summary on the topic on Kinematics, here's a good resource:

 
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Nathanael said:
You can't use "v0=0" because at "v0" the object has already been accelerating for 5 seconds.
I don't know what you mean by "at v0". At t= 0, the object is just starting to accelerate with initial speed v0= 0 so this formula can be used to find the distances at t= 5 and t= 6.
 
HallsofIvy said:
I don't know what you mean by "at v0". At t= 0, the object is just starting to accelerate with initial speed v0= 0 so this formula can be used to find the distances at t= 5 and t= 6.

By "at v0" I meant the "v0" that the OP was using in his equations. (I wanted to keep it as simple as possible because he didn't seem to be a native english speaker.)

If you look at his equations then you can see he assumed "(Δ)t=1" and "s=20" which means he created his equation to describe the time interval from t=5 to t=6.

That is why I said he can't use v0=0, because HIS "v0" is not 0(You can certainly solve the problem using v0=0 but my comment was on the method that he attacked the problem with.)
 
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