- #1
How Does the Velocity-Distance Graph Relate to a Particle's Acceleration?
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Homework Help Overview
The discussion revolves around the relationship between a particle's velocity and its acceleration as represented in a velocity-distance graph. The original poster is exploring how to derive acceleration from the given velocity function.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the original poster's attempts to analyze the problem using a velocity function derived from a graph. Questions are raised about the relationship between velocity and acceleration, particularly through differentiation.
Discussion Status
Some participants have provided guidance on deriving acceleration from the velocity function, and there is an ongoing exploration of the mathematical relationships involved. Multiple interpretations of the problem are being considered, and attempts to clarify the original poster's understanding are evident.
Contextual Notes
The original poster mentions limited knowledge of differential equations and references a specific answer without a provided solution. There is a focus on understanding the motion in a straight line context.
- #2
- 23,741
- 5,941
Show us how you've analyzed the problem so far, please. Are you studying differential equations now?
Chet
Chet
- #3
sylwesh98
- 42
- 0
Sir ,
I've tried the sum according to the following attachment .
Actually I have very less knowledge of differential equations.
I came across this problem when I'm studying motion in a straight line chapter.
The answer given is 4x-8
But no solution is given.
Please help me sir.
Thanks in advance!
I just wanted to know how to do the sum!
I've tried the sum according to the following attachment .
Actually I have very less knowledge of differential equations.
I came across this problem when I'm studying motion in a straight line chapter.
The answer given is 4x-8
But no solution is given.
Please help me sir.
Thanks in advance!
I just wanted to know how to do the sum!
Attachments
- #4
- 23,741
- 5,941
OK, from the graph, what is the equation for the velocity v as a function of the distance x? (This is the first step in obtaining the solution).sylwesh98 said:
Chet
- #5
sylwesh98
- 42
- 0
V=-2x+4
- #6
sylwesh98
- 42
- 0
Even after trying with that equation I can't get the solution
- #7
- 23,741
- 5,941
Take the derivative of this equation with respect to time. What do you get? How is dv/dt related to the acceleration. How is dx/dt related to the velocity?sylwesh98 said:
Chet
- #8
sylwesh98
- 42
- 0
I got a=-2v and v = -2x +4 and solving them I got the answer
thank you sir!
thank you sir!
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