Solve Physics Problem: Find Position/Velocity

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Homework Help Overview

The problem involves finding the position and velocity of an object given its acceleration function a(t) = 2t - 4, an initial velocity of 4 m/s, and an initial position of x = 0 at time t = 0. The context is within introductory physics, with a focus on the relationship between acceleration, velocity, and position.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the necessity of calculus for solving the problem and question the appropriateness of the problem for those without calculus background. There are inquiries about the definitions of acceleration and velocity, and suggestions to utilize graphical representations to understand the relationships between the variables.

Discussion Status

The discussion is ongoing, with participants providing guidance on the rules of engagement in the forum and exploring the foundational concepts necessary for addressing the problem. There is a recognition of the need for a calculus background, and some participants suggest alternative approaches involving graphical analysis.

Contextual Notes

There is a mention of forum rules requiring participants to show their work, and a participant indicates a lack of calculus knowledge, which may impact their ability to engage with the problem effectively.

Telzis
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Generally, I perform well academically. However, I am new to physics, and the concepts have me stumped. The question I'm struggling with most is "find the position and velocity of an object for arbitrary times if it has an acceleration of a(t) = 2t-4, an initial velocity of 4m/s, and the initial position is x=0 at time t=0.
 
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Telzis said:
Generally, I perform well academically. However, I am new to physics, and the concepts have me stumped. The question I'm struggling with most is "find the position and velocity of an object for arbitrary times if it has an acceleration of a(t) = 2t-4, an initial velocity of 4m/s, and the initial position is x=0 at time t=0.

Hi Telzis. Welcome to Physics Forums.

Since you are new to PF, you may be unaware of the rules with respect to homework problems. You are supposed to follow a specific format, and you are supposed to show what you have done so far in attempting a solution.
Regarding the specific problem you presented, have you had calculus yet?

Chet
 
Chestermiller said:
Hi Telzis. Welcome to Physics Forums.

Since you are new to PF, you may be unaware of the rules with respect to homework problems. You are supposed to follow a specific format, and you are supposed to show what you have done so far in attempting a solution.
Regarding the specific problem you presented, have you had calculus yet?

Chet

I apologize, I was unaware of the rules. I have not taken calculus.
 
Telzis said:
I apologize, I was unaware of the rules. I have not taken calculus.
This problem is very easy to do using calculus. Is this supposed to be a physics course for people who have not had calculus yet? Do you know the definition of acceleration? Do you know the definition of velocity? It is possible to do this problem without using calculus, but it takes some manipulation. What have you analyzed on this problem so far?
 
Telzis said:
Generally, I perform well academically. However, I am new to physics, and the concepts have me stumped. The question I'm struggling with most is "find the position and velocity of an object for arbitrary times if it has an acceleration of a(t) = 2t-4, an initial velocity of 4m/s, and the initial position is x=0 at time t=0.

Looks like you should draw a few Graphs - starting with acceleration vs time.

have you learned how to use information gained from an acceleration vs time graph to produce a velocity time graph?

How can you get a position vs time graph from there.
 

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