What is the formula for calculating time and velocity with acceleration?

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Homework Help Overview

The discussion revolves around calculating time and velocity in the context of constant acceleration, specifically in a scenario involving an object falling a distance of 125 meters. The original poster seeks to understand the relevant formulas and how to determine velocity when the starting position is the same as the ending position.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss various equations related to constant acceleration, with some questioning the necessity of knowing the final velocity. Others explore how to find direction when displacement is zero and the implications of average speed versus average velocity.

Discussion Status

The conversation is ongoing, with participants offering equations and clarifications. There is recognition of the complexity involved in the problem, particularly regarding the relationship between speed, velocity, and displacement. No consensus has been reached, but several lines of reasoning are being explored.

Contextual Notes

Participants note the challenge of working with incomplete information, such as the unknown final velocity, and the implications of the object starting and ending at the same point, which raises questions about direction and displacement.

Genowyn
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OK. I am doing my science summative and have entirely forgotten what formula to use to find how long it takes something to travel a certain distance, given the acceleration.

More specifically, I need to know the formula for how long it takes something to fall 125m to the ground.

Also, how do I find velocity if the start position of my object is the same as the first one. (I know the speed, just not the direction.)
 
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All of the ones on that page seem to require that I know the final velocity. I don't know the final velocity, just the distance, initial velocity, and acceleration.

So, I still have no idea what to do.
 
You can use equation 4 to solve for the final velocity and then use equation 3 to solve for the time.
 
I see, thank you.

Does anyone know about how I find direction if the start and end point are the same point?
 
The displacement is zero, hence no direction, i think that is right judging from what your question is asking
 
So the velocity is just the same as the speed?
 
No.
Average speed is the total path distance traveled divided by the time taken
(there and back again distances adding up)
Average velocity is the "net" displacement (zero, here) divided by time.

Their "complete set of formulas" is missing 3b : Dx = v_f t - 1/2 a t^2 .
 

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