Position as a function of time

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    Function Position Time
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Discussion Overview

The discussion revolves around finding a function for the position of a cart as a function of time, given specific data points and conditions. The scenario involves a cart in motion on a frictionless surface with a constant force applied for a limited time, and participants are exploring how to derive equations for both position and velocity during this period.

Discussion Character

  • Homework-related, Exploratory, Technical explanation

Main Points Raised

  • The original poster seeks assistance in deriving equations for position and velocity based on provided data points (position at t=0s and t=2s) and conditions (constant force applied for two seconds).
  • Some participants inquire about the specifics of the time intervals and whether the equations are needed only during the application of force.
  • One participant suggests that the time increments are likely in 0.1 seconds, clarifying the original poster's statement.
  • The original poster expresses difficulty in finding an equation that does not require the unknown initial velocity, indicating a need for guidance rather than complete solutions.

Areas of Agreement / Disagreement

Participants generally agree on the need for clarification regarding the time intervals and the scope of the equations required. However, there is no consensus on how to approach the problem or resolve the uncertainty surrounding the initial velocity.

Contextual Notes

The discussion highlights limitations related to the unknown initial velocity and the need for specific equations that apply only during the force application period. There are also unresolved aspects regarding the application of equations and the interpretation of the data provided.

Who May Find This Useful

This discussion may be useful for students or individuals seeking to understand the dynamics of motion under constant force, particularly in the context of deriving equations from experimental data.

Billmaz89
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Hi all,
I can't find a function of this data, since the cart is already in motion. Please help a noobie at physics!
Time is increasing from 0.0 to 2.0 by .1
x (in m) is 5.0 at 0.0 and 49.0 at 2.0 seconds

the cart that's moving is 5.0 kg intially traveling at some unknown velocity on a horizontal frictionless surface. Starting at t=0s, a constant force F, is applied for two seconds, after these two seconds the force is no longer applied.

so, the question is,
Find an equation for position as a function of time that fits the data. Then find an equation for the cart's velocity as a function of time.

Any help would be much appreciated!
 
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A couple of questions:

what do you mean by "Time is increasing from 0.0 to 2.0 by .1"

Do you need the equation for after the force is applied, or just while the force is applied?

Also, what have you tried doing so far? We can only help you if you show a sincere effort in solving the problem yourself. Let us know!


Alexandre Colavin
 
In increments of 0.1, presumably.
 
in increments of .1 until it reaches 2.0, yes, and I've been going through given equations to try to find the velocity, and the amount of force applied. But I can't find an equation that doesn't require the unknown initial velocity so I'm kind of stuck just looking at equations. I'm not asking for the problem done for me, I just need to be pointed in the correct direction.and just while the force is applied is my guess, it wasn't asking anything after the force is done I'm pretty sure.
 

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