Distance in time at acceleration

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    Acceleration Time
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Homework Help Overview

The discussion revolves around finding the time it takes for an object to travel a certain distance under constant acceleration, starting from an initial velocity. Participants are exploring the relevant equations and how to incorporate initial velocity into their calculations.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the formula for distance under constant acceleration and how to adjust it for initial velocity. There are attempts to derive or rearrange the equation, with some participants expressing uncertainty about the correct approach.

Discussion Status

Several participants are actively engaging with the problem, with some offering equations and others seeking clarification or examples. There is a mix of understanding levels, and while some guidance has been provided, no consensus has been reached on a definitive method.

Contextual Notes

One participant mentions a specific scenario involving a rocket accelerating towards the sun, which raises questions about the application of the formulas discussed. Additionally, there is a noted variation in participants' mathematical proficiency, which may affect the depth of the discussion.

dirty_d
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what is the formula to find the time it takes for an object to travel a distance at a certain acceleration from a certain initial velocity? I think I've figured out it without taking into account the initial v which would be t = squareroot( (d * 2) / a), i think... but I'm not sure how to fit the initial velocity in there.
 
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Can you show some work?
 
dirty_d said:
what is the formula to find the time it takes for an object to travel a distance at a certain acceleration from a certain initial velocity? I think I've figured out it without taking into account the initial v which would be t = squareroot( (d * 2) / a), i think... but I'm not sure how to fit the initial velocity in there.

Start off with the equation [tex]d = d_{0}+v_{0}t+\frac{1}{2}at^2[/tex]. The equation you got would be valid for d0 = v0 = 0.
 
Last edited:
radou i have no idea how to rearrange that formula, cyrusabdollahi, an example would be if a rocket is in space with the engine off traveling at 1000 m/s towards the sun and then turns the engine on and starts accelerating at 100 m/s/s in the same direction how long would it take to travel 1000 km towards the sun from when it starts accelerating.
 
What is your level of math?
 
level = low
 
anybody...
 
this works i don't know if it can be simplified any,

t = d / ((sqrt(pow(v0, 2) + 2 * a * d) + v0) / 2)
 

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