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

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Homework Help Overview

The problem involves an object starting from rest and moving with constant acceleration. The specific question is about the distance covered by the object during the 5th and 6th seconds of its motion, which is given as 20 meters, and seeks to determine the acceleration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the validity of using the initial velocity as zero, with some arguing that the object has already been accelerating for 5 seconds. Others explore the implications of the distance covered during specific time intervals and question the assumptions made in the original poster's equations.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on the initial conditions and the equations used. Some have offered alternative approaches to interpreting the problem, while others are clarifying the assumptions behind the original poster's method.

Contextual Notes

There is a focus on the interpretation of initial conditions and the use of kinematic equations, with some participants noting potential misunderstandings in the original setup. The discussion reflects a variety of interpretations regarding the motion of the object during the specified 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:

 
Last edited by a moderator:
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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