How do you isolate the t-variable in the acceleration formula

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Homework Help Overview

The discussion revolves around isolating the time variable (delta-t) in the acceleration formula, specifically in the context of kinematics and motion equations.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore different methods to isolate delta-t, including algebraic manipulation and integration. Some suggest using the relationship between acceleration, change in velocity, and time, while others reference the use of distance in the context of constant acceleration.

Discussion Status

The discussion includes various approaches to the problem, with participants sharing different perspectives and methods. There is no explicit consensus on a single method, but several lines of reasoning are being explored.

Contextual Notes

Some participants mention the assumption of constant acceleration and the potential relevance of distance traveled in the problem setup.

wScott
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acceleration = delta-v / delta-t

How do I isolate delta-t?
 
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via integration

[tex]\int \frac{1}{a}dv = \int dt \ + \ C[/tex]
 
Last edited:
delta v / acceleration = delta t
 
wScott said:
acceleration = delta-v / delta-t

How do I isolate delta-t?
If you are given the distance travelled, as I suspect is the case, and if there is constant acceleration, use:

[tex]v_0\Delta t + \frac{1}{2}\Delta v\Delta t = d[/tex]

This is easy to see using a v-t graph (in which the area under the graph is the distance).

AM
 

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