Rectilinear Motion of Particle

Click For Summary
SUMMARY

The discussion centers on the rectilinear motion of a particle with acceleration directly proportional to time. The initial conditions are a velocity of -12 m/s at t=0 and a position of 15 m at t=4s when the velocity reaches 0. Participants emphasize the importance of correctly integrating the velocity function to derive the position function, recommending the use of limits during integration. The simplest approach to solving this problem is highlighted as the method proposed by user adashiu.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Knowledge of calculus, specifically integration techniques
  • Familiarity with differential equations
  • Ability to interpret initial conditions in motion problems
NEXT STEPS
  • Study the integration of velocity functions in kinematics
  • Learn about differential equations related to motion
  • Explore the concept of acceleration as a function of time
  • Review examples of rectilinear motion problems with varying acceleration
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and motion analysis, as well as educators seeking to clarify concepts of rectilinear motion.

adashiu
Messages
21
Reaction score
0

Homework Statement



3. The acceleration of a particle is directly proportional to the time t. At t=0, the velocity of a particle = -12 m/s. Knowing that v=0 and x = 15 when t=4s, write the equation of the motion.

Here is my solution, could Somebody check it?
View attachment zadanie3.pdf

Text is in Polish, sorry for that :smile:
 
Physics news on Phys.org
I'm still waiting for the attachment approval. In the meantime, dzien dobry.
 
Dzien dobry :)) Attachment approval? So you cannot look into it?
 
You have explained the problem well enough, and I believe I can solve it, but it is against forum rules for me to provide any help until I see your attempt at a solution. Is there a reason why you need to put it into pdf format? I understand that using the tex feature on this forum is a bit frustrating, but you can just try to write out your solution in plane text here, and I will try to follow it.
 
When you integrated v to find x as a function of t, you did something wrong. I advise you to put limits on your integration, and put explicitly what is the differential quantity over which you're integrating.
 
do you have any other simplier sulotion for rectilinear motion??
 
adashiu's approach is the simplest approach that I'm aware of. In fact, off the top of my head, I can't think of another way to do it.
 

Similar threads

Replies
17
Views
1K
Replies
2
Views
1K
Replies
16
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
5K
Replies
1
Views
1K
  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 5 ·
Replies
5
Views
4K